Question
A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
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Answers
GPT 3.5
To find f(5), we need to recursively follow the formula and calculate each step:
f(1) = 18
f(2) = f(1) - 2 = 18 - 2 = 16
f(3) = f(2) - 2 = 16 - 2 = 14
f(4) = f(3) - 2 = 14 - 2 = 12
f(5) = f(4) - 2 = 12 - 2 = 10
Therefore, f(5) = 10.
f(1) = 18
f(2) = f(1) - 2 = 18 - 2 = 16
f(3) = f(2) - 2 = 16 - 2 = 14
f(4) = f(3) - 2 = 14 - 2 = 12
f(5) = f(4) - 2 = 12 - 2 = 10
Therefore, f(5) = 10.