If , where , then all such…

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

(1+i)^{2n}+(1-i)^{2n}=-2^{n+1}

, where

i=\sqrt{-1}

, then all such

n

are (1) Even (2) Odd (3) Multiples of

3

(4) None of these