9106 Number Patterns First 3 Terms Given A & D

1) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 12 d = -4

The first term of the arithmetic sequence is given by the value of 'a', which is 12. The common difference 'd' is -4, which means each term is decreasing by 4. So, starting from the first term, we subtract 4 to get the next term and continue this pattern. Therefore, the second term is 12 - 4 = 8, and the third term is 8 - 4 = 4. Hence, the first three terms of the arithmetic sequence are 12, 8, and 4.

Explanation

The first term of the arithmetic sequence is given by the value of 'a', which is 12. The common difference 'd' is -4, which means each term is decreasing by 4. So, starting from the first term, we subtract 4 to get the next term and continue this pattern. Therefore, the second term is 12 - 4 = 8, and the third term is 8 - 4 = 4. Hence, the first three terms of the arithmetic sequence are 12, 8, and 4.

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2) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 12 d = -8

The first term of the arithmetic sequence is given by a, which is 12. The common difference between each term is given by d, which is -8. To find the second term, we add the common difference (-8) to the first term (12), resulting in 4. To find the third term, we add the common difference (-8) to the second term (4), resulting in -4. Therefore, the first three terms of the arithmetic sequence are 12, 4, -4.

Explanation

The first term of the arithmetic sequence is given by a, which is 12. The common difference between each term is given by d, which is -8. To find the second term, we add the common difference (-8) to the first term (12), resulting in 4. To find the third term, we add the common difference (-8) to the second term (4), resulting in -4. Therefore, the first three terms of the arithmetic sequence are 12, 4, -4.

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3) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 12 d = -5

The first term of the arithmetic sequence is given by the value of "a", which is 12. The common difference, "d", is -5. To find the second term, we subtract the common difference from the first term: 12 - 5 = 7. To find the third term, we subtract the common difference from the second term: 7 - 5 = 2. Therefore, the first three terms of the arithmetic sequence are 12, 7, and 2.

Explanation

The first term of the arithmetic sequence is given by the value of "a", which is 12. The common difference, "d", is -5. To find the second term, we subtract the common difference from the first term: 12 - 5 = 7. To find the third term, we subtract the common difference from the second term: 7 - 5 = 2. Therefore, the first three terms of the arithmetic sequence are 12, 7, and 2.

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4) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 12 d = -5

The given arithmetic sequence starts with the value of 12 and has a common difference of -5. This means that each term in the sequence is obtained by subtracting 5 from the previous term. Therefore, the first three terms of the sequence are 12, 7, and 2.

Explanation

The given arithmetic sequence starts with the value of 12 and has a common difference of -5. This means that each term in the sequence is obtained by subtracting 5 from the previous term. Therefore, the first three terms of the sequence are 12, 7, and 2.

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

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.

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

The arithmetic sequence is determined by adding the common difference (d) to the initial term (a) repeatedly. In this case, the initial term is 14 and the common difference is 4. Adding 4 to 14 gives us 18, and adding 4 to 18 gives us 22. Therefore, the first three terms of the arithmetic sequence are 14, 18, and 22.

Explanation

The arithmetic sequence is determined by adding the common difference (d) to the initial term (a) repeatedly. In this case, the initial term is 14 and the common difference is 4. Adding 4 to 14 gives us 18, and adding 4 to 18 gives us 22. Therefore, the first three terms of the arithmetic sequence are 14, 18, and 22.

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7) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 39 d = 6

The first term of the arithmetic sequence is given by a, which is 39. The common difference, d, is 6. To find the second term, we add the common difference to the first term: 39 + 6 = 45. To find the third term, we add the common difference to the second term: 45 + 6 = 51. Therefore, the first three terms of the arithmetic sequence are 39, 45, and 51.

Explanation

The first term of the arithmetic sequence is given by a, which is 39. The common difference, d, is 6. To find the second term, we add the common difference to the first term: 39 + 6 = 45. To find the third term, we add the common difference to the second term: 45 + 6 = 51. Therefore, the first three terms of the arithmetic sequence are 39, 45, and 51.

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8) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 2 d = 9

The first term of the arithmetic sequence is given by a, which is 2. The common difference between each term is given by d, which is 9. To find the second term, we add the common difference to the first term: 2 + 9 = 11. To find the third term, we add the common difference to the second term: 11 + 9 = 20. Therefore, the first three terms of the arithmetic sequence are 2, 11, and 20.

Explanation

The first term of the arithmetic sequence is given by a, which is 2. The common difference between each term is given by d, which is 9. To find the second term, we add the common difference to the first term: 2 + 9 = 11. To find the third term, we add the common difference to the second term: 11 + 9 = 20. Therefore, the first three terms of the arithmetic sequence are 2, 11, and 20.

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9) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 5 d = 10

The first term of the arithmetic sequence is given by the value of 'a', which is 5. The common difference 'd' is 10. To find the second term, we add the common difference to the first term: 5 + 10 = 15. Similarly, to find the third term, we add the common difference to the second term: 15 + 10 = 25. Therefore, the first three terms of the arithmetic sequence are 5, 15, and 25.

Explanation

The first term of the arithmetic sequence is given by the value of 'a', which is 5. The common difference 'd' is 10. To find the second term, we add the common difference to the first term: 5 + 10 = 15. Similarly, to find the third term, we add the common difference to the second term: 15 + 10 = 25. Therefore, the first three terms of the arithmetic sequence are 5, 15, and 25.

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10) What are the first three terms of the arithmetic sequence given the values for a & d below. a = 4 d = 8

The first term of the arithmetic sequence is given by a, which is 4. The common difference, d, is 8. To find the second term, we add the common difference to the first term: 4 + 8 = 12. To find the third term, we again add the common difference to the second term: 12 + 8 = 20. Therefore, the first three terms of the arithmetic sequence are 4, 12, and 20.

Explanation

The first term of the arithmetic sequence is given by a, which is 4. The common difference, d, is 8. To find the second term, we add the common difference to the first term: 4 + 8 = 12. To find the third term, we again add the common difference to the second term: 12 + 8 = 20. Therefore, the first three terms of the arithmetic sequence are 4, 12, and 20.

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

The first term of the arithmetic sequence is -4, and the common difference between each term is 4. To find the second term, we add the common difference to the first term: -4 + 4 = 0. To find the third term, we add the common difference to the second term: 0 + 4 = 4. Therefore, the first three terms of the arithmetic sequence are -4, 0, and 4.

Explanation

The first term of the arithmetic sequence is -4, and the common difference between each term is 4. To find the second term, we add the common difference to the first term: -4 + 4 = 0. To find the third term, we add the common difference to the second term: 0 + 4 = 4. Therefore, the first three terms of the arithmetic sequence are -4, 0, and 4.

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12) What are the first three terms of the arithmetic sequence given the values for a & d below.a = -4 d = 8

The first term of the arithmetic sequence is -4, and the common difference between each term is 8. To find the second term, we add the common difference to the first term: -4 + 8 = 4. To find the third term, we add the common difference to the second term: 4 + 8 = 12. Therefore, the first three terms of the arithmetic sequence are -4, 4, and 12.

Explanation

The first term of the arithmetic sequence is -4, and the common difference between each term is 8. To find the second term, we add the common difference to the first term: -4 + 8 = 4. To find the third term, we add the common difference to the second term: 4 + 8 = 12. Therefore, the first three terms of the arithmetic sequence are -4, 4, and 12.

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13) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -10 d = 5

The first term of the arithmetic sequence is -10, and the common difference between each term is 5. To find the second term, we add the common difference to the first term: -10 + 5 = -5. To find the third term, we add the common difference to the second term: -5 + 5 = 0. Therefore, the first three terms of the arithmetic sequence are -10, -5, and 0.

Explanation

The first term of the arithmetic sequence is -10, and the common difference between each term is 5. To find the second term, we add the common difference to the first term: -10 + 5 = -5. To find the third term, we add the common difference to the second term: -5 + 5 = 0. Therefore, the first three terms of the arithmetic sequence are -10, -5, and 0.

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14) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -20 d = 10

The first term of the arithmetic sequence is -20, and the common difference between each term is 10. To find the second term, we add the common difference to the first term: -20 + 10 = -10. To find the third term, we add the common difference to the second term: -10 + 10 = 0. Therefore, the first three terms of the arithmetic sequence are -20, -10, and 0.

Explanation

The first term of the arithmetic sequence is -20, and the common difference between each term is 10. To find the second term, we add the common difference to the first term: -20 + 10 = -10. To find the third term, we add the common difference to the second term: -10 + 10 = 0. Therefore, the first three terms of the arithmetic sequence are -20, -10, and 0.

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15) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -1 d = 10

The first term of the arithmetic sequence is -1, and each subsequent term is found by adding 10 to the previous term. Therefore, the second term is obtained by adding 10 to -1, resulting in 9. The third term is obtained by adding 10 to 9, resulting in 19.

Explanation

The first term of the arithmetic sequence is -1, and each subsequent term is found by adding 10 to the previous term. Therefore, the second term is obtained by adding 10 to -1, resulting in 9. The third term is obtained by adding 10 to 9, resulting in 19.

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16) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -3 d = 10

The first term of the arithmetic sequence is -3, and the common difference between each term is 10. To find the second term, we add the common difference to the first term: -3 + 10 = 7. To find the third term, we add the common difference to the second term: 7 + 10 = 17. Therefore, the first three terms of the arithmetic sequence are -3, 7, and 17.

Explanation

The first term of the arithmetic sequence is -3, and the common difference between each term is 10. To find the second term, we add the common difference to the first term: -3 + 10 = 7. To find the third term, we add the common difference to the second term: 7 + 10 = 17. Therefore, the first three terms of the arithmetic sequence are -3, 7, and 17.

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17) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = -5

The first term of the arithmetic sequence is -12. Each subsequent term is found by subtracting 5 from the previous term. Therefore, the second term is -12 - 5 = -17, and the third term is -17 - 5 = -22.

Explanation

The first term of the arithmetic sequence is -12. Each subsequent term is found by subtracting 5 from the previous term. Therefore, the second term is -12 - 5 = -17, and the third term is -17 - 5 = -22.

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18) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -2 d = -5

The first term of the arithmetic sequence is -2. To find the second term, we add the common difference (-5) to the first term: -2 + (-5) = -7. To find the third term, we add the common difference (-5) to the second term: -7 + (-5) = -12. Therefore, the first three terms of the arithmetic sequence are -2, -7, -12.

Explanation

The first term of the arithmetic sequence is -2. To find the second term, we add the common difference (-5) to the first term: -2 + (-5) = -7. To find the third term, we add the common difference (-5) to the second term: -7 + (-5) = -12. Therefore, the first three terms of the arithmetic sequence are -2, -7, -12.

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19) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = -2

The given values of a = -12 and d = -2 represent the first term and the common difference of an arithmetic sequence. To find the first three terms of the sequence, we start with the first term (-12) and subtract the common difference (-2) each time. Thus, the first three terms of the arithmetic sequence are -12, -14, and -16.

Explanation

The given values of a = -12 and d = -2 represent the first term and the common difference of an arithmetic sequence. To find the first three terms of the sequence, we start with the first term (-12) and subtract the common difference (-2) each time. Thus, the first three terms of the arithmetic sequence are -12, -14, and -16.

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20) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = -4

The first term of the arithmetic sequence is -12, and the common difference is -4. To find the second term, we subtract the common difference from the first term: -12 - (-4) = -12 + 4 = -16. To find the third term, we subtract the common difference from the second term: -16 - (-4) = -16 + 4 = -20. Therefore, the first three terms of the arithmetic sequence are -12, -16, and -20.

Explanation

The first term of the arithmetic sequence is -12, and the common difference is -4. To find the second term, we subtract the common difference from the first term: -12 - (-4) = -12 + 4 = -16. To find the third term, we subtract the common difference from the second term: -16 - (-4) = -16 + 4 = -20. Therefore, the first three terms of the arithmetic sequence are -12, -16, and -20.

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21) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = -5

The first term of the arithmetic sequence is -12, and the common difference is -5. To find the second term, we subtract the common difference from the first term: -12 - (-5) = -12 + 5 = -17. To find the third term, we subtract the common difference from the second term: -17 - (-5) = -17 + 5 = -22. Therefore, the first three terms of the arithmetic sequence are -12, -17, and -22.

Explanation

The first term of the arithmetic sequence is -12, and the common difference is -5. To find the second term, we subtract the common difference from the first term: -12 - (-5) = -12 + 5 = -17. To find the third term, we subtract the common difference from the second term: -17 - (-5) = -17 + 5 = -22. Therefore, the first three terms of the arithmetic sequence are -12, -17, and -22.

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22) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -22 d = -5

The arithmetic sequence is formed by starting with the value of "a" (-22) and adding the common difference "d" (-5) repeatedly. The first term is -22, the second term is obtained by subtracting 5 from -22, which gives -27, and the third term is obtained by subtracting 5 from -27, which gives -32. Therefore, the first three terms of the arithmetic sequence are -22, -27, -32.

Explanation

The arithmetic sequence is formed by starting with the value of "a" (-22) and adding the common difference "d" (-5) repeatedly. The first term is -22, the second term is obtained by subtracting 5 from -22, which gives -27, and the third term is obtained by subtracting 5 from -27, which gives -32. Therefore, the first three terms of the arithmetic sequence are -22, -27, -32.

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23) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -2 d = 5

The first term of the arithmetic sequence is -2, and each subsequent term is obtained by adding 5 to the previous term. So, starting from -2, we add 5 to get 3, and then add 5 again to get 8. Therefore, the first three terms of the arithmetic sequence are -2, 3, and 8.

Explanation

The first term of the arithmetic sequence is -2, and each subsequent term is obtained by adding 5 to the previous term. So, starting from -2, we add 5 to get 3, and then add 5 again to get 8. Therefore, the first three terms of the arithmetic sequence are -2, 3, and 8.

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24) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -2 d = 3

The first term of the arithmetic sequence is -2. To find the second term, we add the common difference (d) of 3 to the first term (-2 + 3 = 1). To find the third term, we add the common difference to the second term (1 + 3 = 4). Therefore, the first three terms of the arithmetic sequence are -2, 1, and 4.

Explanation

The first term of the arithmetic sequence is -2. To find the second term, we add the common difference (d) of 3 to the first term (-2 + 3 = 1). To find the third term, we add the common difference to the second term (1 + 3 = 4). Therefore, the first three terms of the arithmetic sequence are -2, 1, and 4.

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25) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = 3

The arithmetic sequence is formed by adding the common difference (d) to the initial term (a) repeatedly. In this case, the initial term is -12 and the common difference is 3. Adding 3 to -12 gives -9, and adding 3 to -9 gives -6. Therefore, the first three terms of the arithmetic sequence are -12, -9, and -6.

Explanation

The arithmetic sequence is formed by adding the common difference (d) to the initial term (a) repeatedly. In this case, the initial term is -12 and the common difference is 3. Adding 3 to -12 gives -9, and adding 3 to -9 gives -6. Therefore, the first three terms of the arithmetic sequence are -12, -9, and -6.

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26) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = 4

The first term of the arithmetic sequence is -12. The common difference between each term is 4. To find the second term, we add the common difference to the first term: -12 + 4 = -8. To find the third term, we add the common difference to the second term: -8 + 4 = -4. Therefore, the first three terms of the arithmetic sequence are -12, -8, -4.

Explanation

The first term of the arithmetic sequence is -12. The common difference between each term is 4. To find the second term, we add the common difference to the first term: -12 + 4 = -8. To find the third term, we add the common difference to the second term: -8 + 4 = -4. Therefore, the first three terms of the arithmetic sequence are -12, -8, -4.

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27) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = 6

The first term of the arithmetic sequence is -12, and the common difference between each term is 6. To find the second term, we add the common difference to the first term: -12 + 6 = -6. To find the third term, we add the common difference to the second term: -6 + 6 = 0. Therefore, the first three terms of the arithmetic sequence are -12, -6, and 0.

Explanation

The first term of the arithmetic sequence is -12, and the common difference between each term is 6. To find the second term, we add the common difference to the first term: -12 + 6 = -6. To find the third term, we add the common difference to the second term: -6 + 6 = 0. Therefore, the first three terms of the arithmetic sequence are -12, -6, and 0.

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28) What are the first three terms of the arithmetic sequence given the values for a & d below. a = -12 d = 8

The first term of the arithmetic sequence is given by a, which is -12. The common difference, d, is 8. To find the second term, we add the common difference to the first term: -12 + 8 = -4. To find the third term, we add the common difference to the second term: -4 + 8 = 4. Therefore, the first three terms of the arithmetic sequence are -12, -4, and 4.

Explanation

The first term of the arithmetic sequence is given by a, which is -12. The common difference, d, is 8. To find the second term, we add the common difference to the first term: -12 + 8 = -4. To find the third term, we add the common difference to the second term: -4 + 8 = 4. Therefore, the first three terms of the arithmetic sequence are -12, -4, and 4.

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