一道平方差数学题(1/2+1)(1/2^2+1)(1/2^4+1)(1/2^8+1)(1/2^16+1)+1/2^31_其他解答

一道平方差数学题
(1/2+1)(1/2^2+1)(1/2^4+1)(1/2^8+1)(1/2^16+1)+1/2^31

人气：396 ℃　时间：2020-03-30 18:31:04

解答

(1/2+1)(1/2^2+1)(1/2^4+1)(1/2^8+1)(1/2^16+1)+1/2^31
=2*(1-1/2)(1/2+1)(1/2^2+1)(1/2^4+1)(1/2^8+1)(1/2^16+1)+1/2^31
=2*(1-1/2^32)+1/2^31
=2-1/2^31+1/2^31
=2神马意思