In the arithmetic sequence with a1 = 3 and d = 4, what is a10?

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Multiple Choice

In the arithmetic sequence with a1 = 3 and d = 4, what is a10?

Explanation:
In an arithmetic sequence, each term increases by a fixed amount d from the previous term. The general rule is a_n = a_1 + (n−1)d. Here a_1 = 3, d = 4, and we want a_10. So a_10 = 3 + (10−1)×4 = 3 + 9×4 = 3 + 36 = 39. The value 39 is the one listed. (If you used n×d instead of (n−1)×d, you’d get 43, which is a distractor.)

In an arithmetic sequence, each term increases by a fixed amount d from the previous term. The general rule is a_n = a_1 + (n−1)d. Here a_1 = 3, d = 4, and we want a_10. So a_10 = 3 + (10−1)×4 = 3 + 9×4 = 3 + 36 = 39. The value 39 is the one listed. (If you used n×d instead of (n−1)×d, you’d get 43, which is a distractor.)

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