In an arithmetic sequence with a1 = 7 and d = -2, find a5.

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Multiple Choice

In an arithmetic sequence with a1 = 7 and d = -2, find a5.

Explanation:
Using the nth-term formula for an arithmetic sequence, a_n = a_1 + (n-1)d. With a_1 = 7 and d = -2, the fifth term is a_5 = 7 + (5-1)(-2) = 7 + 4(-2) = 7 - 8 = -1. So the fifth term equals -1. The sequence goes down by 2 each step: a2 = 5, a3 = 3, a4 = 1, a5 = -1, a6 = -3, a7 = -5. Thus -1 is the value for a5; the other options correspond to other terms (3 is a3, 1 is a4, -5 is a7).

Using the nth-term formula for an arithmetic sequence, a_n = a_1 + (n-1)d. With a_1 = 7 and d = -2, the fifth term is a_5 = 7 + (5-1)(-2) = 7 + 4(-2) = 7 - 8 = -1. So the fifth term equals -1. The sequence goes down by 2 each step: a2 = 5, a3 = 3, a4 = 1, a5 = -1, a6 = -3, a7 = -5. Thus -1 is the value for a5; the other options correspond to other terms (3 is a3, 1 is a4, -5 is a7).

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