What is a6 in the arithmetic sequence with a1 = 3 and d = 4?

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Multiple Choice

What is a6 in the arithmetic sequence with a1 = 3 and d = 4?

Explanation:
In an arithmetic sequence, each term adds the same amount, the common difference, to the previous term. The nth term is a_n = a_1 + (n−1)d. With a_1 = 3 and d = 4, the sixth term is a6 = 3 + (6−1)×4 = 3 + 20 = 23. So the sixth term is 23 because you add 4 five times to the first term. The other values correspond to different positions: 19 would be the fifth term, 27 the seventh, and 31 the eighth.

In an arithmetic sequence, each term adds the same amount, the common difference, to the previous term. The nth term is a_n = a_1 + (n−1)d. With a_1 = 3 and d = 4, the sixth term is a6 = 3 + (6−1)×4 = 3 + 20 = 23. So the sixth term is 23 because you add 4 five times to the first term. The other values correspond to different positions: 19 would be the fifth term, 27 the seventh, and 31 the eighth.

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