Question

If `f(1)=8` and `f(n)=1/2f(n-1)+2`, what is `f(3)`?

Answer 1

`f(3) =5`

Explanation:

`f(n)=1/2f(n-1)+2`

`f(3)=1/2f(2)+2`

`f(2)=1/2f(1)+2`

We are told that `f(1) =8`

`:. f(2)= 1/2*8 +2 = 6`

Hence `f(3) = 1/2*6+2=5`