This is the problem:

$\displaystyle (1+((1+i)/2)) (1+((1+i)/2)^2) (1+{((1+i)/2)^2}^2)...$$\displaystyle (1+{((1+i)/2)^2}^n)$ = $\displaystyle (1+i)(1-1/{2^2}^n) $

it is given that n must be >=2

I tried to solve things by ofcourse using $\displaystyle i^2=\sqrt{-1} $and that sorting and calculating to see what will I get but I just cant get anything usseful,so if u have some ideas please reply.