Consider the recursive function.
f(1) = 2
f(n) = 5. (n 1), for n > 2

Which statement is true?
A. The value of f(6) is 1/125 times the value of f(3)
B. The value of f(6) is 2 times the value of f(3)
C. The value of f(6) is 125 times the value of f(3)
D. The value of f(6) is 15 times the value of f(3)

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Answer:

  C.  125 times

Step-by-step explanation:

Using the recursion relation, we have ...

  f(4) = 5·f(3)

  f(5) = 5·f(4) = 5·(5·f(3)) = 25·f(3)

  f(6) = 5·f(5) = 5·(25·f(3)) = 125·f(3) . . . . matches choice C