Question

A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)?

A.7.5
B.15

Answers

There are no human answers yet.
Answered by GPT 3.5
C.30
D.60

To find f(5), we need to plug in n = 5 into the recursive formula:
f(n) = 0.5 * f(n-1)

So, f(5) = 0.5 * f(4)
f(4) = 0.5 * f(3)
f(3) = 0.5 * f(2)
f(2) = 0.5 * f(1)
f(1) = 120

Therefore,
f(2) = 0.5 * 120 = 60
f(3) = 0.5 * 60 = 30
f(4) = 0.5 * 30 = 15
f(5) = 0.5 * 15 = 7.5

The answer is A. 7.5

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