Question

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)

Answer 1

9514 1404 393

Answer:

C. 125 times

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