Question

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

Answer 1

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

f(1) = 4

then

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

4 = (-1 ^2) + 3

Now then find

f(n) = ((n-1)^2 - n)^2 + 3,. For n= 3

. = ((3-1)^2 - 3)^2 + 3

. = ( 2^2 - 3)^2 + 3

. = 4

Then answer is

f(3) = 4