Final Answer:
The value of f(6) is 125 times the value of f(3). Option B is answer.
Step-by-step explanation:
To find the value of f(6), we can use the recursive formula:
f(1) = 2
f(n) = 5 * f(n - 1), for n > 2
Using this formula, we can calculate the first few values of f(n):
f(2) = 5 * f(1) = 10
f(3) = 5 * f(2) = 50
f(4) = 5 * f(3) = 250
f(5) = 5 * f(4) = 1250
f(6) = 5 * f(5) = 6250
Therefore, the value of f(6) is 125 times the value of f(3). Option B is answer.
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Complete Question
Consider the recursive function.
f(1) = 2
(n) = 5 • f(n − 1), for n > 2
Which statement is true?
A. The value of A(6) is 2 times the value of f(3).
B. The value of f(6) is 125 times the value of f(3).
C. The value of 6) is 15 times the value of f(3).
D. The value of f(6) is 1/125 times the value of f(3).
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