Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.f(n) = –6.5n + 14.5f(n) = –1.5n + 9.5f(n) = 6.5n + 1.5f(1) = 8, f(n + 1) = f(n) – 6.5f(1) = 8, f(n + 1) = f(n) – 1.5f(1) = 8, f(n + 1) = f(n) + 6.5

Each term decreases by 6.5: 1.5 − 8 = −6.5, and −5 − 1.5 = −6.5. With first term 8 and common difference −6.5, the explicit rule is f(n) = 8 + (n − 1)(−6.5) = −6.5n + 14.5, which is choice A. The recursive rule is f(1) = 8 and f(n + 1) = f(n) − 6.5, which is choice D.

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