(2+1)(2^2+1)(2^4+1)(2^8+1)……..(2^2n+1 +1)等于几?
问题描述:
(2+1)(2^2+1)(2^4+1)(2^8+1)……..(2^2n+1 +1)等于几?
(2+1)(2^2+1)(2^4+1)(2^8+1)……..(2^2n +1 )搞错了
答
我们在前面补一个(2-1)原式=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)……..(2^2n+1 +1)=(2^2-1)(2^2+1)(2^4+1)(2^8+1)……..(2^2n+1 +1)=(2^4-1)(2^4+1)(2^8+1)……..(2^2n+1 +1)=(2^4n+2...