计算(2+1)(22+1)(24+1)……(2n+1)
问题描述:
计算(2+1)(22+1)(24+1)……(2n+1)
答
(2+1)(2^2+1)(2^4+1)……(2^2n+1)
=(2-1)(2+1)(2^2+1)(2^4+1)……(2^n+1)
=(2^2-1)(2^2+1)(2^4+1)……(2^2n+1)
=...
=(2^2n-1)