Question

If f(1)=1 and f(n+1)=f(n)^2 -3 then find the value of f(4).

Answer 1

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Answer:

f(4) = -2

Explanation:

Substitute as needed and do the arithmetic.

f(2) = f(1)^2 -3 = 1^2 -3 = -2

f(3) = f(2)^2 -3 = (-2)^2 -3 = 1

f(4) = f(3)^2 -3 = 1^2 -3 = -2