Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?5,–1, –7, –13, –19, ...
Answer
A
f(n + 1) = f(n) + 6
B
f(n) = f(n +1) – 6
C
f(n +1) = f(n) – 6
D
f(n +1) = –6f(n)
Explanation
Each term is 6 less than the term before it: 5 − 6 = −1, −1 − 6 = −7, and so on. Therefore the recursive rule is f(n + 1) = f(n) − 6, which is choice C.
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