Pls Answer this question

f(3) = 1

Step-by-step explanation:

We have been given:

f(1) = 25

f(n) = f(n-1) · (-1/5)

Find f(2) by substituting n=2 in the given equation:

f(n) = f(n-1) · (-1/5)

f(2) = f(2-1) · (-1/5)

f(2) = f(1) · (-1/5)

where f(1) given in the question is 25, substitute it in the equation

f(2) = 25 · (-1/5)

f(2) = -5

Find f(3) by substituting n=3 in the given equation

f(n) = f(n-1) · (-1/5)

f(3) = f(3-1) · (-1/5)

f(3) = f(2) · (-1/5)

where f(2) found in the previous step was -5, substitute it in the equation.

f(3) = -5 · (-1/5)

f(3) = 1

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