Question

Please help!!!!

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

Answer 1

The value of f(3) is -2.

Explanation:

This is a recursive function. So

`f(1) = 2`

Now, we find f(2) in function of f(1). So

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

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

Now, with f(2), we can find the value of f(3).

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

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

The value of f(3) is -2.