9050 Any Solution From First 3 Terms

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| By Anthony Nunan
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Anthony Nunan
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Questions: 65 | Attempts: 112

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In this quiz, we are given the first three terms, and have to create the rule from those terms.
So. . . From 3, 205, 405, the answer becomes : tn=-195+200
In this quiz, you are given and you only need to type out the right side of the equation.

• 1.

For the above sequence, what is the value of term number 36?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 2.

For the above sequence, what is the value of term number 36?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 3.

For the above sequence, what is the value of term number 36?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 4.

For the above sequence, what is the value of term number 36?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 5.

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

Explanation
The correct answer is -25-8n because it follows the pattern of an arithmetic sequence. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In this case, the constant difference is -8, and the initial term is -25. By substituting different values of n into the equation, we can generate the sequence. For example, when n = 0, the term is -25, and when n = 1, the term is -33. Thus, the equation -25-8n accurately represents the given sequence.

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• 6.

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

Explanation
The given arithmetic sequence is represented by the formula 17 + 6n, where n represents the position of a term in the sequence. This means that each term in the sequence can be found by substituting the value of n into the formula. The term at position 1 would be 17 + 6(1) = 23, the term at position 2 would be 17 + 6(2) = 29, and so on. Therefore, the correct answer is 17 + 6n.

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• 7.

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 1. This can be represented as 1-3n, where n represents the position of the term in the sequence.

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• 8.

• 9.

• 10.

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

Explanation
The given sequence is an arithmetic sequence with a common difference of 10. The formula -48+10n represents the nth term of the sequence, where n is the position of the term in the sequence. By substituting different values of n, we can find the corresponding terms in the sequence. For example, when n=1, the first term is -48+10(1)=-38. When n=2, the second term is -48+10(2)=-28, and so on. Therefore, the formula -48+10n correctly represents the arithmetic sequence.

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• 11.

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

Explanation
The given answer, -21-5n, represents the rule for the arithmetic sequence. This means that each term in the sequence can be obtained by subtracting 5n from -21, where n represents the position of the term in the sequence. For example, if n=1, the first term would be -21-5(1) = -26. Similarly, if n=2, the second term would be -21-5(2) = -31, and so on. This rule allows us to find any term in the sequence by plugging in the corresponding value of n.

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• 12.

• 13.

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

Explanation
The given rule for the arithmetic sequence is 36-30n. This means that each term in the sequence can be obtained by subtracting 30 multiplied by the position of the term (n) from 36. For example, when n=1, the first term is 36-30(1) = 6. When n=2, the second term is 36-30(2) = -24. This pattern continues for each term in the sequence.

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• 14.

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 corresponding value of n into the rule. For example, if n=1, the first term would be -136+100(1) = -36. Similarly, if n=2, the second term would be -136+100(2) = -36+200 = 164. Therefore, the answer -136+100n accurately represents the rule for the arithmetic sequence.

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• 15.

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 each term in the sequence is obtained by multiplying the position of the term (n) by 8 and then subtracting 19. For example, when n=1, the first term is -19+8(1)=-11. When n=2, the second term is -19+8(2)=-3. This pattern continues for each term in the sequence.

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• 16.

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 adding 10 to the previous term. The general formula for an arithmetic sequence is 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 -13 and the common difference is 10. Therefore, the formula for the nth term of the sequence is -13 + 10n.

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• 17.

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 different values for n into the formula. For example, when n = 1, the first term is -29 + 30(1) = 1. When n = 2, the second term is -29 + 30(2) = 1 + 30 = 31. Therefore, the formula accurately generates each term in the sequence.

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• 18.

• 19.

• 20.

• 21.

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 adding 3 to the previous term. The formula -21+3n represents this pattern, where n represents the position of the term in the sequence. By substituting different values of n, we can find the corresponding terms in the sequence.

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• 22.

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

Explanation
The given rule for the arithmetic sequence is -27-4n, where n represents the position of the term in the sequence. This means that each term in the sequence can be obtained by subtracting 4 times the position of the term from -27. For example, when n=1, the first term is -27-4(1)=-31, and when n=2, the second term is -27-4(2)=-35. This pattern continues for each term in the sequence.

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• 23.

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

Explanation
The given sequence is an arithmetic sequence, where each term is obtained by subtracting 6 from the previous term. The variable "n" represents the position of each term in the sequence. Therefore, the correct answer is -6n.

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• 24.

• 25.

• 26.

Using the sequence above, determine the value of 'd'.

Explanation
The given sequence does not provide any information or clues to determine the value of 'd'. Therefore, it can be concluded that the value of 'd' remains unknown or indeterminate based on the given information.

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• 27.

• 28.

• 29.

• 30.

Using the sequence above, determine the value of 'd'.

Explanation
The given sequence only consists of one number, which is -3. Therefore, the value of 'd' in the sequence is -3.

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• 31.

• 32.

Using the sequence above, determine the value of 'd'.

Explanation
The value of 'd' is 30 because it is the only number given in the sequence. Therefore, there is no need for any calculations or deductions to determine the value of 'd'.

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• 33.

Using the sequence above, determine the value of 'd'.

Explanation
The value of 'd' is 20 because there is no indication or pattern given in the question to suggest any other value. Therefore, we can assume that 'd' is simply equal to 20 based on the given information.

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• 34.

• 35.

• 36.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence is the constant value that is added or subtracted to each term in order to obtain the next term. In this case, since the given answer is -100, it suggests that each term in the sequence is obtained by subtracting 100 from the previous term.

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• 37.

What is the common difference for the sequence above?.

Explanation
The common difference for the sequence is 2. This means that each term in the sequence is obtained by adding 2 to the previous term.

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• 38.

• 39.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in order to obtain the next term. In this case, since the given answer is -20, it suggests that each term in the sequence is obtained by subtracting 20 from the previous term.

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• 40.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in order to generate the next term. In this case, since the answer is -3, it means that each term in the sequence is obtained by subtracting 3 from the previous term.

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• 41.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in order to obtain the next term. In this case, since the given answer is -5, it suggests that each term in the sequence is obtained by subtracting 5 from the previous term. This implies that each term is decreasing by 5 units, resulting in a common difference of -5.

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• 42.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in order to obtain the next term. In this case, since the given answer is -20, it suggests that each term in the sequence is obtained by subtracting 20 from the previous term.

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• 43.

What is the common difference for the sequence above?.

Explanation
The common difference for the sequence is 7 because each term in the sequence is obtained by adding 7 to the previous term.

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• 44.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in the sequence to obtain the next term. In this case, since the answer is -9, it means that each term in the sequence is obtained by subtracting 9 from the previous term.

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• 45.

What is the common difference for the sequence above?.

Explanation
The common difference for a sequence refers to the constant value that is added or subtracted to each term in order to obtain the next term. In this case, the common difference is -3 because each term in the sequence is obtained by subtracting 3 from the previous term.

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• 46.

Above is an Arithmetic Series - a sequence of numbers added together. The number of terms in this series is given as 'n'. What is the total value of the series?

Explanation
If the value doesn't appear in the first few values, you can use the rule for Arithmetic Series to calculate a larger value, or use the table of values in the App to find larger terms. Note - you MUST use the series column, not the sequence column.

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• 47.

For the above sequence, what is the value of term number 25?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 48.

For the above sequence, what is the value of term number 25?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 49.

For the above sequence, what is the value of term number 35?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• 50.

For the above sequence, what is the value of term number 36?

Explanation
If the value doesn't appear in the first few values, you can use the rule to calculate a larger value, or use the table of values in the App to find larger terms.

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• Current Version
• Mar 22, 2023
Quiz Edited by
ProProfs Editorial Team
• May 11, 2015
Quiz Created by
Anthony Nunan