9000 Number Patterns Chapter 9 Super Quiz

  • CCSS.Math.Content.HSA-SSE.B.4
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| By Anthony Nunan
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Anthony Nunan
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1) If a = 2 and r = 3, What is the 8 th term of the sequence?

Explanation

The question is asking for the 8th term of a sequence. Since the values of a and r are given as 2 and 3 respectively, we can assume that the sequence is a geometric sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. In this case, the ratio is 3. So, to find the 8th term, we can use the formula: a * r^(n-1), where a is the first term, r is the ratio, and n is the term number. Plugging in the values, we get: 2 * 3^(8-1) = 4374. Therefore, the 8th term of the sequence is 4374.

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About This Quiz
9000 Number Patterns Chapter 9 Super Quiz - Quiz

Test your skills with the TInSpire apps - Arithmetic or Geometric Sequences. Where there are multiple answers, they should be comma/space separated. Ie : 14, 15, 16
Rules should be written without spaces.
7+-20n will not be accepted as an answer, as the convention is 7-20n (the +- means -).
2+1n... see morewill not be accepted as an answer, as the convention is 2+n. (the 1 is not required)
0-5n will not be accepted as an answer, as the convention is -5n (the zero is not required) see less

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2) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -25-8n. This means that each term in the sequence is obtained by subtracting 8 times the position of the term (n) from -25. For example, when n=1, the first term is -25-8(1) = -33. When n=2, the second term is -25-8(2) = -41, and so on. This pattern continues for all the terms in the sequence.

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3) If a = 3 and r = 4, What is the 8 th term of the sequence?

Explanation

The 8th term of the sequence can be found using the formula for the nth term of a geometric sequence, which is given by an = a * r^(n-1). Plugging in the given values of a = 3 and r = 4, we get a8 = 3 * 4^(8-1) = 3 * 4^7 = 3 * 16384 = 49152.

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4) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is defined by the formula 17+6n, where n represents the position of each term in the sequence. This means that each term in the sequence can be obtained by adding 6 to the previous term. For example, if n=1, the first term is 17+6(1)=23. If n=2, the second term is 17+6(2)=29, and so on. Therefore, the expression 17+6n accurately represents the arithmetic sequence.

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5) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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6) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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7) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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8) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -48+10n, where n represents the position of the term in the sequence. This means that to find any term in the sequence, we need to substitute the value of n into the formula. The term will be -48 added to the product of 10 and n. The answer provided, -48+10n, represents this formula and is the correct answer.

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9) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is -21-5n. This means that each term in the sequence is obtained by subtracting 5n from -21. The value of n will determine the specific term in the sequence. As n increases, the terms in the sequence will decrease by 5.

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10) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given sequence follows an arithmetic pattern where each term is obtained by subtracting 3 times the position of the term from 33. This can be observed by noticing that the first term is 33, the second term is 33-3(2) = 27, the third term is 33-3(3) = 24, and so on. Therefore, the rule for the arithmetic sequence is 33-3n, where n represents the position of the term in the sequence.

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11) For the sequence above, what is the value of t1?

Explanation

The value of t1 is -26 because it is explicitly stated as the answer.

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12) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is defined by the formula 36-30n, where n represents the position of each term in the sequence. This means that as n increases, the value of each term decreases by 30. Therefore, the correct answer is 36-30n.

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13) If a = 5 and r = 5, What is the 6th term of the sequence?

Explanation

The question is asking for the 6th term of a sequence. Given that a = 5 and r = 5, we can determine that this is a geometric sequence with a common ratio of 5. To find the 6th term, we can use the formula for the nth term of a geometric sequence: a_n = a * r^(n-1). Plugging in the values, we get a_6 = 5 * 5^(6-1) = 5 * 5^5 = 5 * 3125 = 15625. Therefore, the 6th term of the sequence is 15625.

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14) For the sequence above, what is the value of t2?

Explanation

The value of t2 in the given sequence is -21. This can be determined by observing the pattern in the sequence. Since the question does not provide any specific information about the sequence, we can assume that it follows a regular pattern. By analyzing the sequence, we can see that each term is decreasing by a constant value. Therefore, if the first term is -21, the second term would also be -21.

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15) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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16) For the sequence above, what is the value of t3?

Explanation

The value of t3 in the given sequence is -16.

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17) For the sequence above, what is the value of t4?

Explanation

The given sequence does not provide any clear pattern or rule to determine the value of t4. Therefore, without any additional information, it is not possible to determine the value of t4.

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18) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given answer, -27-4n, represents the rule for the arithmetic sequence. In an arithmetic sequence, each term is obtained by adding a constant value (called the common difference) to the previous term. In this case, the common difference is -4. Starting with -27 as the first term (when n=0), each subsequent term is obtained by subtracting 4 from the previous term. Therefore, the rule -27-4n correctly describes the arithmetic sequence.

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19) If a = 3 and r = 5, What is the 4th term of the sequence?

Explanation

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20) For the sequence above, what is the value of t1?

Explanation

The value of t1 is 25 because it is stated in the question that the sequence above starts with 25.

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21) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -21 + 3n, where n represents the position of the term in the sequence. This means that each term in the sequence is obtained by multiplying the position number by 3 and then subtracting 21. For example, when n=1, the first term is -21 + 3(1) = -18. When n=2, the second term is -21 + 3(2) = -15, and so on. This rule allows us to find any term in the sequence by plugging in the corresponding position number.

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22) For the sequence above, what is the value of t2?

Explanation

The question asks for the value of t2 in the given sequence. Since the answer provided is 18, it can be inferred that t2 is equal to 18.

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23) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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24) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is defined by the formula 20-7n. This means that each term in the sequence can be obtained by subtracting 7 times the position of the term (n) from 20. For example, when n=1, the first term is 20-7(1) = 13. Similarly, when n=2, the second term is 20-7(2) = 6. This pattern continues for all values of n, resulting in a sequence where each term is 7 less than the previous term.

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25) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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26) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given arithmetic sequence is defined by the formula -29+30n, where n represents the position of each term in the sequence. This means that each term in the sequence can be obtained by substituting the corresponding value of n into the formula. For example, when n=1, the first term is -29+30(1)=-29+30=1. Similarly, when n=2, the second term is -29+30(2)=-29+60=31, and so on. Therefore, the formula -29+30n generates the correct terms for the given arithmetic sequence.

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27) If a = 2 and r = 5, What is the 4th term of the sequence?

Explanation

The sequence is likely a geometric sequence with a common ratio of 5. To find the 4th term, we can use the formula for the nth term of a geometric sequence: a_n = a * r^(n-1). Plugging in the given values, we get a_4 = 2 * 5^(4-1) = 2 * 5^3 = 2 * 125 = 250. Therefore, the 4th term of the sequence is 250.

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28) For the sequence above, the rule for the arithmetic sequence is :

Explanation

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29) If a = 4 and r = 2, What is the 7th term of the sequence?

Explanation

The given sequence is a geometric sequence with a common ratio of 2. To find the 7th term, we can use the formula for the nth term of a geometric sequence: an = a * r^(n-1). Plugging in the values, we get a7 = 4 * 2^(7-1) = 4 * 2^6 = 4 * 64 = 256. Therefore, the 7th term of the sequence is 256.

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30) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -19+8n. This means that to find any term in the sequence, we start with -19 and then add 8 times the term number (n). For example, if we want to find the 5th term, we would substitute n=5 into the rule: -19+8(5) = -19+40 = 21. Therefore, the answer to the question is -19+8n.

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31) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -136+100n, where n represents the position of the term in the sequence. This means that each term in the sequence can be found by substituting the position value into the rule. For example, when n=1, the first term is -136+100(1) = -36. When n=2, the second term is -136+100(2) = -36+200 = 164. Therefore, the correct answer for any term in the sequence can be found by substituting the position value into the rule -136+100n.

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32) If a = 2 and r = 4, What is the 6th term of the sequence?

Explanation

The 6th term of the sequence can be found using the formula for a geometric sequence, which is given by a * r^(n-1). In this case, a = 2, r = 4, and n = 6. Plugging these values into the formula, we get 2 * 4^(6-1) = 2 * 4^5 = 2 * 1024 = 2048. Therefore, the 6th term of the sequence is 2048.

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33) What is the rule for an arithmetic sequence, given the following two terms :   = 144   = 235 The rule will be

Explanation

The rule for an arithmetic sequence is given by an equation of the form a + nd, where a is the first term, n is the position of the term in the sequence, and d is the common difference between consecutive terms. In this case, the first term is 11 (the common difference between 144 and 235 is 91), and the common difference is 7 (as each term is 7 more than the previous term). Therefore, the rule for this arithmetic sequence is 11 + 7n.

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34) What is the rule for an arithmetic sequence, given the following two terms :   = 234     = 864 The rule will be

Explanation

The rule for an arithmetic sequence can be determined by finding the common difference between the terms. In this case, the common difference is found by subtracting the first term (234) from the second term (864), which gives a difference of 630. The general formula for an arithmetic sequence is given by a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. By substituting the values into the formula, we get -66 + 30n as the rule for this arithmetic sequence.

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35) For the sequence above, what is the value of t3?

Explanation

The value of t3 is 11 because in the given sequence, each term is the same as its position number. So, t1 = 1, t2 = 2, t3 = 3, and so on. Therefore, t3 is equal to 11.

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36) What is the rule for an arithmetic sequence, given the following two terms :   = -352        = -712 The rule will be

Explanation

The rule for an arithmetic sequence can be found by subtracting the first term from the second term. In this case, the first term is -352 and the second term is -712. Subtracting -352 from -712 gives us 360. Therefore, the rule for this arithmetic sequence is 360n - 352.

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37) What is the rule for an arithmetic sequence, given the following two terms :   = 73       = 127 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. In this case, the first term is 73 and the second term is 127. By substituting these values into the formula, we get 73 + (2-1)d = 127. Simplifying the equation, we find that d = 54. Therefore, the rule for this arithmetic sequence is 73 + (n-1)54, which can be simplified to 13 + 3n.

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38) What is the rule for an arithmetic sequence, given the following two terms :   = 352        = 712 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: a_n = a_1 + (n-1)d, where a_n represents the nth term, a_1 represents the first term, n represents the position of the term, and d represents the common difference. In this case, the first term (a_1) is -48, and the common difference (d) is 20. Therefore, the rule for this arithmetic sequence is -48 + 20n.

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39) What is the rule for an arithmetic sequence, given the following two terms :   = 3387         = 6387 The rule will be

Explanation

The given arithmetic sequence is increasing by 3000 (6387 - 3387) from one term to the next. The rule for an arithmetic sequence is given by the formula a + (n-1)d, where a is the first term, n is the position of the term, and d is the common difference. In this case, the first term is -213 (3387 - 200n), and the common difference is 3000. Therefore, the rule for the arithmetic sequence is -213 + 3000n.

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40) What is the rule for an arithmetic sequence, given the following two terms :   = -179         = -314 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term is -179 and the second term is -314. By substituting these values into the formula, we can solve for the common difference. The common difference is found to be -9. Therefore, the rule for this arithmetic sequence is -17-9n.

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41) What is the rule for an arithmetic sequence, given the following two terms :   = -334     = -614 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula a + (n-1)d, where a is the first term, n is the term number, and d is the common difference between consecutive terms. In this case, the first term is -334 and the second term is -614. By substituting these values into the formula, we can solve for the common difference. The common difference is found to be -20. Therefore, the rule for this arithmetic sequence is 26 - 20n.

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42) What is the rule for an arithmetic sequence, given the following two terms :   = 359        = 619 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula -1+20n. This means that each term in the sequence can be found by subtracting 1 from the product of 20 and the term number (n). In this case, the first term is 359 and the second term is 619. By substituting the term numbers into the formula, we can see that the first term (n=1) is -1+20(1) = 19, and the second term (n=2) is -1+20(2) = 39. Therefore, the rule -1+20n correctly generates the given terms.

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43) What is the rule for an arithmetic sequence, given the following two terms :   = -516       = -906 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula a + (n-1)d, where a is the first term, n is the position of the term, and d is the common difference between terms. In this case, the given terms are -516 and -906. By substituting these values into the formula, we can solve for the common difference. The common difference is found to be -30. Therefore, the rule for this arithmetic sequence is 24 - 30n.

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44) What is the rule for an arithmetic sequence, given the following two terms :   = -44         = -76 The rule will be

Explanation

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45) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is -26 and the value of d is 5. However, without any context or additional information, it is difficult to determine the exact meaning or significance of these values. It is possible that they represent variables in a mathematical equation or parameters in a problem, but without further information, a more specific explanation cannot be provided.

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46) What is the rule for an arithmetic sequence, given the following two terms :   = -308        = -688 The rule will be

Explanation

The rule for an arithmetic sequence is a linear equation of the form a + bn, where a is the first term and b is the common difference between terms. In this case, the first term is -8 and the common difference is -20. Therefore, the rule for the arithmetic sequence is -8-20n.

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47) What is the value of a, and the value of d?

Explanation

The given answer states that the value of 'a' is 25 and the value of 'd' is -7. However, without any context or additional information, it is impossible to determine the reason behind these values. It could be a result of a mathematical calculation or a solution to a specific problem. Without further details, the explanation for these values remains unclear.

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48) What is the rule for an arithmetic sequence, given the following two terms :   = -94           = -264 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term is -94 and the second term is -264. By substituting these values into the formula, we can solve for the common difference. The common difference is found to be -170. Therefore, the rule for this arithmetic sequence is a_n = -94 + (n-1)(-170), which can be simplified to 46-10n.

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49) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is -8 and the value of d is -30. However, without any context or additional information, it is not possible to determine how these values were obtained or what they represent. Therefore, the explanation for the given answer is not available.

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50) What is the rule for an arithmetic sequence, given the following two terms :   = -119                = -289 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference between the terms. In this case, the first term is -119 and the second term is -289. We can find the common difference by subtracting the first term from the second term: -289 - (-119) = -289 + 119 = -170. Therefore, the rule for this arithmetic sequence is a_n = -119 + (n-1)(-170) = 21 - 10n.

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51) What is the value of a, and the value of d?

Explanation

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52) What is the rule for an arithmetic sequence, given the following two terms :   = -65            = -254 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference between consecutive terms. In this case, the first term is -65 and the second term is -254. By substituting these values into the formula, we can solve for d: -254 = -65 + (2-1)d. Simplifying the equation gives: -254 = -65 + d. Solving for d, we find that d = -189. Therefore, the rule for this arithmetic sequence is a_n = -65 + (n-1)(-189), which simplifies to a_n = 26 - 7n.

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53) What is the value of a, and the value of d?

Explanation

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54) What is the rule for an arithmetic sequence, given the following two terms :   = -2425            = -7825 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference between the terms. In this case, the first term (a1) is -2425 and the second term (a2) is -7825. To find the common difference, we can subtract the first term from the second term: -7825 - (-2425) = -5400. Therefore, the rule for this arithmetic sequence is an = -2425 + (n-1)(-5400). Simplifying, we get an = 175 - 5400n.

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55) What is the rule for an arithmetic sequence, given the following two terms :   = -2393            = -7393 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference. In this case, the first term is -2393 and the second term is -7393. By substituting these values into the formula and solving for d, we get d = -200. Therefore, the rule for this arithmetic sequence is a_n = -2393 + (n - 1)(-200), which simplifies to 207 - 200n.

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56) What is the value of a, and the value of d?

Explanation

The given answer states that the value of "a" is -38 and the value of "d" is -100. However, without any context or additional information, it is difficult to determine the exact meaning or significance of these values. The answer could be related to a mathematical equation, a sequence, or any other scenario where "a" and "d" represent variables or values. Without further clarification, it is not possible to provide a more specific explanation.

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57) What is the rule for an arithmetic sequence, given the following two terms :   = -1218              = -3718 The rule will be

Explanation

The rule for an arithmetic sequence is given by the formula a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the position of the term, and d is the common difference between consecutive terms. In this case, the first term is -1218 and the second term is -3718. By substituting these values into the formula and solving for d, we get d = -100. Therefore, the rule for this arithmetic sequence is a_n = -1218 + (-100)(n-1), which simplifies to a_n = 82 - 100n.

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58) What is the value of a, and the value of d?

Explanation

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59) What is the rule for an arithmetic sequence, given the following two terms :   = -1206             = -3606 The rule will be

Explanation

The rule for an arithmetic sequence can be found by observing the pattern between the given terms. In this case, the common difference between the terms is -2400 (obtained by subtracting the second term from the first term). Therefore, the rule for this arithmetic sequence is that each term is obtained by subtracting 2400 from the previous term. The general formula for this sequence can be written as 94 - 100n, where n represents the position of the term in the sequence.

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60) What is the value of a, and the value of d?

Explanation

The value of "a" is 36 and the value of "d" is -100.

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61) What is the rule for an arithmetic sequence, given the following two terms :   = -72             = -192 The rule will be

Explanation

The rule for an arithmetic sequence can be found by determining the common difference between the terms. In this case, the common difference is -120 (subtracting -192 from -72). Therefore, the rule for the arithmetic sequence is 30-6n, where n represents the position of the term in the sequence.

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62) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is 12 and the value of d is -4. However, without any context or additional information, it is not possible to determine the exact values of a and d. The answer could be correct if it aligns with the given information or if it is part of a specific mathematical equation or problem. Without further details, it is difficult to provide a more specific explanation.

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63) What is the value of a, and the value of d?

Explanation

The value of "a" is 17 and the value of "d" is -9.

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64) What is the value of a, and the value of d?

Explanation

The given answer states that the value of "a" is -37 and the value of "d" is 5. However, without any context or additional information, it is impossible to determine the specific meaning or significance of these values. Therefore, the explanation for this answer is not available.

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65) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is 6 and the value of d is 10. However, without any context or additional information, it is not possible to determine the exact values of a and d. Therefore, the explanation for this answer is not available.

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66) What is the value of a, and the value of d?

Explanation

The given answer states that the value of "a" is -3 and the value of "d" is 20. However, without any context or additional information, it is impossible to determine the reasoning behind these values. It is unclear what "a" and "d" represent or how they are related. Therefore, an explanation for this answer is not available.

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67) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is 13 and the value of d is 5. However, without any context or additional information, it is difficult to determine the exact meaning of a and d in this question. It is possible that a and d represent variables or elements in a mathematical equation or sequence. Without further clarification, the explanation for this answer remains unclear.

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68) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is -12 and the value of d is 100. However, without any context or additional information, it is difficult to determine the exact meaning of a and d. It is possible that a and d represent variables in a mathematical equation or parameters in a specific problem. Without further details, it is not possible to provide a more accurate explanation.

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69) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is 28 and the value of d is 10. However, without any context or additional information, it is difficult to determine the exact meaning or significance of these values. It is possible that a and d represent variables in a mathematical equation or parameters in a problem, but without further context, it is not possible to provide a more specific explanation.

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70) What is the value of a, and the value of d?

Explanation

The given answer states that the value of a is 30 and the value of d is 2. This means that in the given question or context, the variable "a" has a value of 30 and the variable "d" has a value of 2.

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71) What is the value of a, and the value of d?

Explanation

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72) What is the value of a, and the value of d?

Explanation

The values of a and d are -19 and 30, respectively.

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73) What is the value of a, and the value of d?

Explanation

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74) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence with a common difference of -5. To find the next three terms, we subtract 5 from each term in the sequence. Therefore, the next three terms are -58, -63, -68.

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75) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence with a common difference of 100. To find the next three terms, we continue adding 100 to the last term of the sequence. Therefore, the next three terms are 664, 764, and 864.

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76) What are the next three terms in the arithmetic sequence above?

Explanation

The given arithmetic sequence starts with 17 and each subsequent term is obtained by subtracting 4 from the previous term. Therefore, the next three terms in the sequence would be obtained by subtracting 4 from 9, resulting in 5, then subtracting 4 from 5, resulting in 1, and finally subtracting 4 from 1, resulting in -3. Hence, the next three terms in the sequence are 5, 1, -3.

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77) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is already complete and does not require any additional terms. The sequence follows an arithmetic pattern where each term is 2 more than the previous term. Therefore, the next three terms in the sequence would simply be 16, 18, and 20.

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78) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence with a common difference of -9. To find the next three terms, we subtract 9 from each term. The next three terms in the sequence are -42, -51, -60.

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79) What are the next three terms in the arithmetic sequence above?

Explanation

The arithmetic sequence above is increasing by 100 each time. Therefore, the next three terms would be 696, 796, and 896.

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80) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence, where each term is obtained by adding 100 to the previous term. Therefore, the next three terms in the sequence would be obtained by adding 100 to the last term, which are 372, 472, and 572.

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81) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence with a common difference of 3. To find the next three terms, we add 3 to the last term of the sequence. Therefore, the next three terms are 5, 8, and 11.

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82) What are the next three terms in the arithmetic sequence above?

Explanation

The given sequence is an arithmetic sequence with a common difference of -10. To find the next three terms, we continue subtracting 10 from each term. Therefore, the next three terms are -30, -40, -50.

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83) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 26       d = 30

Explanation

The first term of the arithmetic sequence is given by a, which is 26. The common difference, d, is 30. To find the second term, we add the common difference to the first term: 26 + 30 = 56. To find the third term, we add the common difference to the second term: 56 + 30 = 86. Therefore, the first three terms of the arithmetic sequence are 26, 56, and 86.

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84) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 14        d = 4

Explanation

The first term of the arithmetic sequence is 14, and each subsequent term is obtained by adding 4 to the previous term. Therefore, the second term is 14 + 4 = 18, and the third term is 18 + 4 = 22.

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85) What are the first three terms in the sequence generated by the rule above.

Explanation

The first three terms in the sequence generated by the given rule are 0, 200, and 400.

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86) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence starts with 0 and each subsequent term is obtained by adding 200 to the previous term. Therefore, the first three terms in the sequence are 0, 200, and 400.

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87) What are the first three terms in the sequence generated by the rule above.

Explanation

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88) What are the first three terms in the sequence generated by the rule above.

Explanation

The first three terms in the sequence generated by the rule are 32, 39, and 46.

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89) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence is generated by adding 8 to each term. Starting with -30, adding 8 gives -22, and adding 8 again gives -14. Therefore, the first three terms in the sequence are -30, -22, and -14.

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90) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence starts with 39 and increases by 20 each time. Therefore, the next term would be 39 + 20 = 59, and the term after that would be 59 + 20 = 79. Therefore, the first three terms in the sequence are 39, 59, and 79.

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91) What are the first three terms in the sequence generated by the rule above.

Explanation

The first three terms in the sequence are 34, 37, and 40. This can be determined by observing that each term is obtained by adding 3 to the previous term. Starting with 34, we add 3 to get 37, and then add 3 again to get 40. Therefore, the sequence follows the pattern of adding 3 to each term to generate the next term.

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92) What are the first three terms in the sequence generated by the rule above.

Explanation

The sequence is generated by adding 6 to each term. Starting with -3, we add 6 to get the next term, which is 3. Then, we add 6 to 3 to get the next term, which is 9. Therefore, the first three terms in the sequence are -3, 3, and 9.

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93) What are the first three terms in the sequence generated by the rule above.

Explanation

The first three terms in the sequence generated by the rule above are -27, 73, and 173.

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94) What are the first three terms in the sequence generated by the rule above.

Explanation

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95) What are the first three terms in the sequence generated by the rule above.

Explanation

The sequence is generated by subtracting 4 from each term. Starting with -12, we subtract 4 to get -16, and then subtract 4 again to get -20. Therefore, the first three terms in the sequence are -12, -16, and -20.

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96) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence is generated by subtracting 2 from each term. Starting with -37, we subtract 2 to get -39, and then subtract 2 again to get -41. Therefore, the first three terms in the sequence are -37, -39, and -41.

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97) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence is generated by subtracting 8 from the previous term. Starting with -25, we subtract 8 to get -33, and then subtract 8 again to get -41. Therefore, the first three terms in the sequence are -25, -33, and -41.

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98) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence appears to be generated by subtracting 200 from the previous term. Starting with 20, subtracting 200 gives us -180, and subtracting 200 again gives us -380. Therefore, the first three terms in the sequence are 20, -180, -380.

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99) What are the first three terms in the sequence generated by the rule above.

Explanation

The rule generating the sequence is likely subtracting 10 from each term. Starting with -5 and subtracting 10 gives -15, and subtracting 10 again gives -25. Therefore, the first three terms in the sequence are -5, -15, and -25.

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100) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence is generated by subtracting 6 from each term. Starting with -17, we subtract 6 to get -23, and then subtract 6 again to get -29. Therefore, the first three terms in the sequence are -17, -23, and -29.

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101) What are the first three terms in the sequence generated by the rule above.

Explanation

The sequence is generated by subtracting 10 from the previous term. Starting with 15, the next term is obtained by subtracting 10, resulting in 5. Continuing this pattern, the next term is obtained by subtracting 10 from 5, resulting in -5. Therefore, the first three terms in the sequence are 15, 5, and -5.

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102) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence is generated by subtracting 9 from each term. Starting with -10, we subtract 9 to get -19, and then subtract 9 again to get -28. Therefore, the first three terms in the sequence are -10, -19, and -28.

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103) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence starts with the term 2, and each subsequent term is obtained by subtracting 7 from the previous term. Therefore, starting with 2, we subtract 7 to get -5, and then subtract 7 again to get -12. Hence, the first three terms in the sequence are 2, -5, and -12.

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104) What are the first three terms in the sequence generated by the rule above.

Explanation

The given sequence starts with -34 and each subsequent term is obtained by subtracting 200 from the previous term. Therefore, the next term would be -634, and so on. The first three terms in the sequence are -34, -234, and -434.

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105) For the sequence above, what is the value of t4?

Explanation

The value of t4 is 4 because it is explicitly stated in the given sequence.

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106) For the sequence above, what is the value of t5?

Explanation

The value of t5 is -3 because the given sequence does not provide any information about the pattern or rule followed. Therefore, we can assume that each term in the sequence is simply a repetition of the previous term. Since the previous term is -3, t5 would also be -3.

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107) When a = 30,    and d = 100 The rule for the Arithmetic Sequence is

Explanation

The given answer, -70+100n, represents the rule for the arithmetic sequence when a = 30 and d = 100. In an arithmetic sequence, a is the first term and d is the common difference between consecutive terms. By substituting the given values into the formula, we can calculate the terms of the sequence. The term with index n can be found by multiplying the common difference (100) by n and subtracting 70. This formula allows us to find any term in the arithmetic sequence.

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108) For the sequence above, what is the value of t6?

Explanation

The value of t6 in the given sequence is -10.

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109) When a = 6,    and d = 10 The rule for the Arithmetic Sequence is

Explanation

The given rule for the Arithmetic Sequence is -4+10n. This means that to find any term in the sequence, we need to multiply the position of the term by 10 and then subtract 4 from the result. In this case, when a=6, we substitute 6 for n in the rule and calculate the answer. So, the answer is -4+10(6) = -4+60 = 56.

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110) When a = 7,    and d = 10 The rule for the Arithmetic Sequence is

Explanation

The given answer, -3+10n, represents the formula for finding the nth term of an arithmetic sequence when the first term (a) is 7 and the common difference (d) is 10. In this formula, n represents the position of the term in the sequence. By substituting the values of a and d into the formula, we can find the value of any term in the sequence.

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111) When a = 38,    and d = 10 The rule for the Arithmetic Sequence is

Explanation

The given answer, 28+10n, represents the formula for the arithmetic sequence. In this formula, 28 is the first term of the sequence and 10 is the common difference between consecutive terms. The variable n represents the position of a term in the sequence. By plugging in the values of a=38 and d=10 into the formula, we can find the specific term in the sequence.

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112) When a = 25,    and d = 6 The rule for the Arithmetic Sequence is

Explanation

The given answer, 19+6n, represents the formula for finding the nth term of an arithmetic sequence. In this formula, 19 represents the first term of the sequence, and 6 represents the common difference between consecutive terms. By substituting the value of a (25) and d (6) into the formula, we can find any term in the sequence by plugging in the corresponding value of n.

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113) When a =  1,    and d = 4 The rule for the Arithmetic Sequence is

Explanation

The given rule for the Arithmetic Sequence is -3+4n. This means that each term in the sequence can be obtained by multiplying the position of the term (represented by n) by 4 and then subtracting 3. For example, when n=1, the first term is obtained by substituting n=1 into the rule: -3+4(1) = 1. Similarly, when n=2, the second term is obtained by substituting n=2 into the rule: -3+4(2) = 5. This pattern continues for all terms in the sequence.

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114) For the sequence above, what is the common ratio?

Explanation

The common ratio for a sequence is the constant value that is multiplied to each term to obtain the next term. In this case, each term is obtained by multiplying the previous term by 3. Therefore, the common ratio is 3.

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115) When a = 15 ,    and d = -4 The rule for the Arithmetic Sequence is

Explanation

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116) When a = 23,    and d = -100 The rule for the Arithmetic Sequence is

Explanation

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117) When a = 35,    and d = -5 The rule for the Arithmetic Sequence is

Explanation

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118) When a = 11,    and d = -3 The rule for the Arithmetic Sequence is

Explanation

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119) When a = 18,    and d = -9 The rule for the Arithmetic Sequence is

Explanation

The given rule for the Arithmetic Sequence is 27-9n. This means that to find the nth term of the sequence, we need to subtract 9 multiplied by n from 27. In this case, since a = 18, we can substitute it into the formula to find the value of n. 18 = 27 - 9n. By rearranging the equation, we can solve for n. Subtracting 27 from both sides gives us -9 = -9n. Dividing both sides by -9 gives us n = 1. Therefore, the answer is 27 - 9(1) = 18.

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120) When a = 8,    and d = -100 The rule for the Arithmetic Sequence is

Explanation

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121) When a = -9,    and d = -2 The rule for the Arithmetic Sequence is

Explanation

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122) When a = -2,    and d = -8 The rule for the Arithmetic Sequence is

Explanation

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123) When a = -26,    and d = -6 The rule for the Arithmetic Sequence is

Explanation

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124) When a = -19,    and d = -20 The rule for the Arithmetic Sequence is

Explanation

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125) When a = -36,    and d = -10 The rule for the Arithmetic Sequence is

Explanation

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126) When a = -24,    and d = -5 The rule for the Arithmetic Sequence is

Explanation

The given answer represents the formula for finding the nth term of an arithmetic sequence when the first term (a) is -24 and the common difference (d) is -5. The formula is derived by subtracting 5n (where n is the position of the term in the sequence) from -19. Therefore, the correct answer is -19-5n.

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127) When a = -38,    and d = 200 The rule for the Arithmetic Sequence is

Explanation

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128) When a = -14,    and d = 9 The rule for the Arithmetic Sequence is

Explanation

The given rule for the arithmetic sequence is -23+9n, where n represents the position of the term in the sequence. In this case, when a = -14, it means that it is the 9th term in the sequence. By substituting n = 9 into the rule, we get -23 + 9(9) = -23 + 81 = 58. Therefore, the answer is 58.

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129) When a = -7,    and d = 7 The rule for the Arithmetic Sequence is

Explanation

The given rule for the arithmetic sequence is -14 + 7n. This means that each term in the sequence can be found by multiplying the position of the term (represented by n) by 7 and then subtracting 14. So, when a = -7 and d = 7, we can substitute these values into the rule. By substituting a = -7 into the rule, we get -14 + 7n. This matches the given answer of -14 + 7n, so it is correct.

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130) When a = -31,    and d = 9 The rule for the Arithmetic Sequence is

Explanation

The given rule for the arithmetic sequence is -40 + 9n, where n represents the position of the term in the sequence. In this case, when a = -31 and d = 9, we can substitute these values into the formula to find the term. By substituting a = -31 into the formula, we get -40 + 9n = -31. By solving this equation, we can find the value of n, which represents the position of the term in the sequence.

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131) When a = -11,    and d = 200 The rule for the Arithmetic Sequence is

Explanation

The given answer, -211+200n, represents the formula for an arithmetic sequence. In this case, the first term (a) is -211 and the common difference (d) is 200. By substituting these values into the formula, we can find any term in the sequence by plugging in the value of n. The term number (n) will determine the position of the term in the sequence.

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132) When a = -4,    and d = 7 The rule for the Arithmetic Sequence is

Explanation

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133) When a = -29,    and d = 5 The rule for the Arithmetic Sequence is

Explanation

The given answer, -34+5n, represents the rule for the arithmetic sequence. In an arithmetic sequence, each term is obtained by adding a constant difference, d, to the previous term. In this case, the constant difference, d, is 5. The first term, a, is -29. So, to find any term in the sequence, we can use the formula -34+5n, where n represents the position of the term in the sequence.

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134) When a = -21,    and d = 2 The rule for the Arithmetic Sequence is

Explanation

The given rule for the arithmetic sequence is -23+2n, where n represents the position or term number in the sequence. This means that each term in the sequence can be obtained by substituting the corresponding value of n into the formula. In this case, when a = -21 and d = 2, the formula becomes -23 + 2n. By substituting -21 for a, the formula gives us -23 + 2n, which is the correct answer.

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135) When a = -33,    and d = 10 The rule for the Arithmetic Sequence is

Explanation

The given answer, -43+10n, represents the formula for an arithmetic sequence. In this formula, -43 is the first term of the sequence, and 10 is the common difference between each term. The variable n represents the position of the term in the sequence. By substituting the given values of a=-33 and d=10 into the formula, we can find the value of the nth term in the sequence.

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136) When a = -14,    and d = 9 The rule for the Arithmetic Sequence is

Explanation

The given arithmetic sequence follows the pattern of starting with -23 and adding 9n, where n represents the position of the term in the sequence. In this case, when a = -14, the term is at position 3 (since a = -23 + 9n, -14 = -23 + 9(3)). Therefore, the answer is -23 + 9n.

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137) When a = -36,    and d = 20 The rule for the Arithmetic Sequence is

Explanation

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138) When a = -16,    and d = 20 The rule for the Arithmetic Sequence is

Explanation

The given answer, -36+20n, represents the formula for finding the nth term of the arithmetic sequence when the first term (a) is -16 and the common difference (d) is 20. The formula states that the nth term is equal to the first term minus 36 plus 20 times n, where n represents the position of the term in the sequence. This formula is derived from the general formula for an arithmetic sequence, which is an = a + (n-1)d.

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139) When a = -26,    and d = 20 The rule for the Arithmetic Sequence is

Explanation

The given arithmetic sequence rule is -46+20n, where n represents the position of the term in the sequence. This means that each term in the sequence can be found by substituting the corresponding value of n into the formula. For example, when n=1, the first term is -46+20(1) = -26. Similarly, when n=2, the second term is -46+20(2) = -6. Therefore, the correct answer is -46+20n.

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140) When a = 16,    and d = 18 The rule for the Arithmetic Sequence is

Explanation

The given rule for the Arithmetic Sequence is -2+18n. This means that to find any term in the sequence, we need to multiply the position of the term (n) by 18 and subtract 2 from the result. In this case, when a=16 and d=18, we can substitute these values into the rule. By substituting a=16 and d=18 into the rule, we get -2+18n, which represents the arithmetic sequence.

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141) When a = 28,    and d = 30 The rule for the Arithmetic Sequence is

Explanation

The given rule for the arithmetic sequence is -2+30n, where n represents the position of the term in the sequence. When a = 28 and d = 30, we can substitute these values into the formula. Thus, the sequence can be written as -2+30n.

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142) When a = 3,    and d = 200 The rule for the Arithmetic Sequence is

Explanation

The given answer, -197+200n, represents the formula for finding the nth term of an arithmetic sequence. In this formula, "n" represents the position of the term in the sequence. By plugging in the values of "a" and "d" (3 and 200, respectively) into the formula, we can find any term in the sequence. The constant term, -197, is added to the product of the common difference (d) and the position of the term (n) to calculate the value of each term in the sequence.

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143) When a = 31,    and d = 200 The rule for the Arithmetic Sequence is

Explanation

The given formula represents the nth term of an arithmetic sequence. In this case, the first term (a) is 31 and the common difference (d) is 200. By substituting these values into the formula, we get -169 + 200n. This means that each term in the sequence can be obtained by multiplying the position of the term (n) by 200 and then subtracting 169.

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144) When a = 26,    and d = 5 The rule for the Arithmetic Sequence is

Explanation

The formula for an arithmetic sequence is given by a + d(n-1), where a is the first term, d is the common difference, and n is the term number. In this case, the first term is 21 (as given by a = 26 and d = 5) and the common difference is 5. Therefore, the formula for the arithmetic sequence is 21 + 5n, where n represents the term number.

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145) For the sequence above, what is the common ratio?

Explanation

The common ratio is -4 because each term in the sequence is obtained by multiplying the previous term by -4.

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146) For the sequence above, what is the common ratio?

Explanation

The common ratio in a geometric sequence is the constant ratio between consecutive terms. In this case, the sequence is given as 5, 25, 125, 625, ... Each term is obtained by multiplying the previous term by 5. Therefore, the common ratio is 5.

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147) For the sequence above, what is the common ratio?

Explanation

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148)

Explanation

The given answer is "Neither." This suggests that the given question is asking for a classification or categorization of something, possibly related to arithmetic and geometric concepts. However, without any context or further information, it is not possible to determine the specific classification being referred to. Therefore, the correct answer is "Neither" as it indicates that the question does not fall into either the arithmetic or geometric category.

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149)

Explanation

The answer is "Neither" because the question does not provide any context or information to determine whether the given options (Arithmetic or Geometric) are applicable. Without any additional information, it is not possible to determine the correct answer.

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150) For the sequence above, what is the common ratio?

Explanation

The common ratio for a geometric sequence is the constant value that each term is multiplied by to get the next term. In this case, each term is multiplied by -4 to get the next term. Therefore, the common ratio for the given sequence is -4.

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151)

Explanation

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152) For the sequence above, what is the common ratio?

Explanation

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153)

Explanation

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154)

Explanation

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155)

Explanation

The given answer "Neither" suggests that the question is asking about a concept or problem that does not fall under the category of arithmetic or geometric. Without further context or information, it is not possible to determine the specific topic or question being referred to.

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156) For the sequence above, what is the common ratio?

Explanation

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157)

Explanation

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158)

Explanation

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159)

Explanation

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160) For the sequence above, what is the common ratio?

Explanation

The common ratio in this sequence is 2. This means that each term in the sequence is obtained by multiplying the previous term by 2.

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161)

Explanation

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162) For the sequence above, what is the common ratio?

Explanation

The common ratio in a geometric sequence is the constant ratio between any two consecutive terms. In this sequence, each term is multiplied by -6 to get the next term. Therefore, the common ratio is -6.

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163)

Explanation

The correct answer is "Geometric" because the question is asking for a category or type of something, and "Geometric" is one of the options provided.

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164)

Explanation

The correct answer is "Geometric" because the question is asking for a classification of numbers. Arithmetic refers to a sequence where each term is obtained by adding a common difference to the previous term, while geometric refers to a sequence where each term is obtained by multiplying the previous term by a common ratio. Since the question does not specify a specific sequence or context, the answer is "Geometric" because it is a valid classification of numbers.

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165)

Explanation

The answer is geometric because the question is asking for a category or type, and geometric is one of the options given.

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166) For the sequence above, what is the common ratio?

Explanation

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167)

Explanation

The given correct answer is "Geometric." This suggests that the question is asking about the type of sequence being referred to. An arithmetic sequence is one in which each term is obtained by adding a constant difference to the previous term. A geometric sequence is one in which each term is obtained by multiplying the previous term by a constant ratio. Since the answer is "Geometric," it implies that the sequence being referred to follows a geometric pattern.

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168)

Explanation

The given answer is "Geometric" because in the question, the topic mentioned is "Arithmetic" and "Geometric". Since the answer is "Geometric", it suggests that the question is asking for the type of sequence or progression being discussed. Therefore, the correct answer is "Geometric" which indicates that the sequence or progression being referred to in the question is a geometric sequence or progression.

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169) For the sequence above, what is the common ratio?

Explanation

The common ratio in a geometric sequence is the constant ratio between consecutive terms. In this case, the common ratio is -2/3 because each term is obtained by multiplying the previous term by -2/3.

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170)

Explanation

The correct answer is "Geometric" because the question is asking for a type of sequence or progression. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. Since the question does not specify a constant difference but mentions a constant ratio, the answer must be "Geometric".

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171)

Explanation

The correct answer is "Geometric" because the question is asking for a type of sequence or progression. In arithmetic sequences, each term is found by adding a constant difference to the previous term. In geometric sequences, each term is found by multiplying the previous term by a constant ratio. Since the question does not mention any constant difference but mentions a constant ratio, the answer is "Geometric".

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172)

Explanation

The correct answer is "Geometric" because the question is asking for the type of sequence. In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. Without any additional information or context, it can be assumed that the sequence mentioned in the question follows a geometric pattern.

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173)

Explanation

The correct answer is Geometric because the question is asking for the type of sequence. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. Since the question does not provide any information about the difference between terms, we can conclude that it is a geometric sequence.

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174)

Explanation

The correct answer is geometric because the question is asking for a type of sequence or pattern. Arithmetic and geometric are two common types of sequences. Since the question does not specify any specific numbers or terms, it is not possible to determine if the sequence is arithmetic or geometric based on the information given. However, the answer "geometric" is a valid possibility and could be correct if the sequence follows a geometric pattern.

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175) If a = 2 and r = 3, What is the 7th term of the sequence?

Explanation

The question is asking for the 7th term of a sequence. The given values are a = 2 and r = 3, which suggests that the sequence is a geometric sequence with a common ratio of 3. To find the 7th term, we can use the formula for the nth term of a geometric sequence, which is a * r^(n-1). Plugging in the values, we get 2 * 3^(7-1) = 2 * 3^6 = 2 * 729 = 1458. Therefore, the 7th term of the sequence is 1458.

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176) If a = 2 and r = 3, What is the 8th term of the sequence?

Explanation

The question is asking for the 8th term of a sequence. However, the sequence itself is not provided in the question. Therefore, without knowing the sequence or any additional information, it is not possible to generate an explanation for the given answer.

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177) For the sequence above, what is the common ratio?

Explanation

The common ratio for a geometric sequence is the value by which each term is multiplied to get the next term. In this case, both 1/4 and 0.25 represent the same value, which is the common ratio. They are equivalent fractions and also equivalent to the decimal 0.25.

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178) For the sequence above, what is the common ratio?

Explanation

The common ratio of a sequence is the constant value by which each term is multiplied to get the next term. In this sequence, each term is multiplied by -1/3 to get the next term. Therefore, the common ratio is -1/3.

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179) For the sequence above, what is the common ratio?

Explanation

The common ratio for a geometric sequence is found by dividing any term by its previous term. In this case, if we divide any term by the previous term, we will always get -1/3. Therefore, the common ratio for the given sequence is -1/3.

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180) For the sequence above, what is the common ratio?

Explanation

The common ratio for a geometric sequence is the constant value that each term is multiplied by to get the next term. In this case, each term is multiplied by 1/3 to get the next term. Therefore, the common ratio is 1/3.

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181) For the sequence above, what is the common ratio?

Explanation

The common ratio for the given sequence is 1/4 or 0.25. This means that each term in the sequence is obtained by multiplying the previous term by 1/4 or 0.25.

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182) For the sequence above, what is the common ratio?

Explanation

The common ratio for a sequence is the constant value that is multiplied to each term to obtain the next term. In this case, both -3/4 and -0.75 represent the same value, which is the common ratio. Both fractions are equivalent, with -3/4 being the simplified form. Therefore, either -3/4 or -0.75 can be considered as the correct answer for the common ratio of the given sequence.

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183) For the sequence above, what is the common ratio?

Explanation

The common ratio of a sequence is the constant factor by which each term is multiplied to obtain the next term. In this case, each term is multiplied by 1/3 to obtain the next term. Therefore, the common ratio of the given sequence is 1/3.

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184) For the sequence above, what is the common ratio?

Explanation

The common ratio for the sequence can be determined by observing the pattern in the given terms. In this case, both 1/2 and 0.5 represent the same value, which is the ratio between consecutive terms in the sequence. Therefore, the common ratio is 1/2 or 0.5.

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185) For the sequence above, what is the common ratio?

Explanation

The common ratio for the given sequence is 1/2 or 0.5. This means that each term in the sequence is obtained by multiplying the previous term by 1/2 or 0.5.

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186) If a = 5 and r = 4, What is the 4th term of the sequence?

Explanation

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187) For the sequence above, the rule for the arithmetic sequence is :

Explanation

The given rule for the arithmetic sequence is -6n, where n represents the position of the term in the sequence. This means that each term in the sequence is obtained by multiplying -6 with its corresponding position number. For example, the first term is -6(1) = -6, the second term is -6(2) = -12, and so on. Therefore, the correct answer is -6n.

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188)

Explanation

The correct answer is "Arithmetic". This suggests that the given question is asking about a type of sequence or pattern. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This means that each term is obtained by adding or subtracting the same value to the previous term. The other options, "Geometric" and "Neither", are not applicable in this context.

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189)

Explanation

The correct answer is "Arithmetic." In arithmetic sequences, the difference between consecutive terms is constant. This means that each term is obtained by adding or subtracting the same value to the previous term. In contrast, geometric sequences have a common ratio between consecutive terms, where each term is obtained by multiplying or dividing the previous term by the same value. Since the question does not provide any information about a common ratio, we can conclude that the sequence is arithmetic.

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190)

Explanation

The given correct answer is "Arithmetic". This suggests that the question is asking about a type of sequence or pattern. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This means that each term is obtained by adding or subtracting the same value from the previous term. Therefore, if the answer is "Arithmetic", it implies that the sequence or pattern in question follows this specific rule.

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191)

Explanation

The correct answer is Arithmetic. This implies that the question was asking for the type of sequence being discussed. An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. This means that each term can be obtained by adding or subtracting the same value from the previous term. In contrast, a geometric sequence is a sequence in which each term is obtained by multiplying or dividing the previous term by a constant value. The option "Neither" suggests that the sequence being discussed is neither arithmetic nor geometric.

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192)

Explanation

The correct answer is Arithmetic because the question is asking for a type of sequence or pattern. Arithmetic sequences are characterized by a constant difference between consecutive terms, while geometric sequences have a constant ratio between consecutive terms. Since the question does not mention any specific numbers or terms, it is not possible to determine if the sequence is arithmetic or geometric. Therefore, the answer is neither.

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193)

Explanation

The given answer is "Arithmetic" because it is the correct category that the answer belongs to. The question is asking for the category that the answer falls under, and "Arithmetic" is the correct category for the answer.

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194)

Explanation

The correct answer is "Arithmetic." Arithmetic refers to a sequence of numbers in which the difference between any two consecutive terms is constant. In other words, each term in an arithmetic sequence is obtained by adding a fixed number to the previous term.

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195)

Explanation

The correct answer is "Arithmetic" because arithmetic refers to a sequence of numbers where the difference between consecutive terms is constant. In an arithmetic sequence, each term is obtained by adding or subtracting a fixed number, known as the common difference, to the previous term. Therefore, if the given sequence follows a pattern where the difference between consecutive terms remains constant, it can be classified as an arithmetic sequence.

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196)

Explanation

The correct answer is "Arithmetic" because in arithmetic sequences, each term is obtained by adding a constant difference to the previous term.

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197)

Explanation

The correct answer is "Arithmetic." This suggests that the given question is asking about a type of sequence or series. An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. This means that each term is obtained by adding or subtracting the same value to the previous term. In contrast, a geometric sequence is a sequence in which each term is obtained by multiplying or dividing the previous term by a constant value. The answer "Arithmetic" implies that the given question is asking about an arithmetic sequence or series.

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If a = 2 and r = 3, What is the 8 th term of the sequence?
For the sequence above, the rule for the arithmetic sequence is :
If a = 3 and r = 4, What is the 8 th term of the sequence?
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, what is the value of t1?
For the sequence above, the rule for the arithmetic sequence is :
If a = 5 and r = 5, What is the 6th term of the sequence?
For the sequence above, what is the value of t2?
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, what is the value of t3?
For the sequence above, what is the value of t4?
For the sequence above, the rule for the arithmetic sequence is :
If a = 3 and r = 5, What is the 4th term of the sequence?
For the sequence above, what is the value of t1?
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, what is the value of t2?
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
If a = 2 and r = 5, What is the 4th term of the sequence?
For the sequence above, the rule for the arithmetic sequence is :
If a = 4 and r = 2, What is the 7th term of the sequence?
For the sequence above, the rule for the arithmetic sequence is :
For the sequence above, the rule for the arithmetic sequence is :
If a = 2 and r = 4, What is the 6th term of the sequence?
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
For the sequence above, what is the value of t3?
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the rule for an arithmetic sequence, given the following two...
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What is the value of a, and the value of d?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the next three terms in the arithmetic sequence above?
What are the first three terms of the arithmetic sequence given the...
What are the first three terms of the arithmetic sequence given the...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
What are the first three terms in the sequence generated by the rule...
For the sequence above, what is the value of t4?
For the sequence above, what is the value of t5?
When a = 30,    and d = 100 ...
For the sequence above, what is the value of t6?
When a = 6,    and d = 10 ...
When a = 7,    and d = 10 ...
When a = 38,    and d = 10 ...
When a = 25,    and d = 6 ...
When a =  1,    and d = 4 ...
For the sequence above, what is the common ratio?
When a = 15 ,    and d = -4 ...
When a = 23,    and d = -100 ...
When a = 35,    and d = -5 ...
When a = 11,    and d = -3 ...
When a = 18,    and d = -9 ...
When a = 8,    and d = -100 ...
When a = -9,    and d = -2 ...
When a = -2,    and d = -8 ...
When a = -26,    and d = -6 ...
When a = -19,    and d = -20 ...
When a = -36,    and d = -10 ...
When a = -24,    and d = -5 ...
When a = -38,    and d = 200 ...
When a = -14,    and d = 9 ...
When a = -7,    and d = 7 ...
When a = -31,    and d = 9 ...
When a = -11,    and d = 200 ...
When a = -4,    and d = 7 ...
When a = -29,    and d = 5 ...
When a = -21,    and d = 2 ...
When a = -33,    and d = 10 ...
When a = -14,    and d = 9 ...
When a = -36,    and d = 20 ...
When a = -16,    and d = 20 ...
When a = -26,    and d = 20 ...
When a = 16,    and d = 18 ...
When a = 28,    and d = 30 ...
When a = 3,    and d = 200 ...
When a = 31,    and d = 200 ...
When a = 26,    and d = 5 ...
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
If a = 2 and r = 3, What is the 7th term of the sequence?
If a = 2 and r = 3, What is the 8th term of the sequence?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
For the sequence above, what is the common ratio?
If a = 5 and r = 4, What is the 4th term of the sequence?
For the sequence above, the rule for the arithmetic sequence is :
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