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------------------------------------------------ If [tex]f(1) = 5[/tex] and [tex]f(n) = 5f(n-1)[/tex], then find the value of [tex]f(6)[/tex].

A. 3125
B. 625
C. 30
D. 150

Answer :

Final Answer:

The value of f(6) is 15625.

None of the given options is answer.

Explanation:

Given:

- f(1) = 5

- f(n) = 5f(n-1)

To find f(6), we calculate step by step:

- f(2) = 5f(2-1) = 5f(1) = 5 * 5 = 25

- f(3) = 5f(3-1) = 5f(2) = 5 * 25 = 125

- f(4) = 5f(4-1) = 5f(3) = 5 * 125 = 625

- f(5) = 5f(5-1) = 5f(4) = 5 * 625 = 3125

- f(6) = 5f(6-1) = 5f(5) = 5 * 3125 = 15625

Therefore, the value of f(6) is indeed 15625.

None of the given options is answer.

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