(2+1)(2^1+1)(2^2+1)(2^3+1)(2^4+1)...(2^2n+1) 怎么算
问题描述:
(2+1)(2^1+1)(2^2+1)(2^3+1)(2^4+1)...(2^2n+1) 怎么算
答
原式=3×1×(2^1+1)(2^2+1)(2^3+1)…(2^2n+1) =3×(2^1-1)(2^1+1)(2^2+1)(2^3+1)…(2^2n+1) =3×(2^2-1)(2^2+1)(2^3+1)…(2^2n+1) =3×(2^3-1)(2^3+1)…(2^2n+1) ………………………………...