What is the 32nd term of the arithmetic sequence where a1 = - 32 and a9 = - 120? Choose one answer. A) - 384. B) - 373. C) - 362. D) - 351

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Mathematics

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30 July, 05:54

What is the 32nd term of the arithmetic sequence where a1 = - 32 and a9 = - 120? Choose one answer. A) - 384. B) - 373. C) - 362. D) - 351

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Isabela Swanson · Answer 1

A 1 = - 32, a 9 = - 120

a 9 = a 1 + 8 d

- 120 = - 32 + 8 d

8 d = - 88

d = - 88 : 8

d = - 11

a 32 = a 1 + 31 d = - 32 + 31 * (-11) = - 32 - 341 = - 373

Answer: B) - 373