计算1 2分之1) (1 2的平方分之1)(1 2的四次方分之一)( 1 2的8次方分之1) 2的十五次方分之一

2025-02-27 12:36:00
推荐回答(1个)
回答1:

(1+1/2)(1+1/2²)(1+1/2^4)(1+1/2^8)+1/2^15
=2x(1-1/2)(1+1/2)(1+1/2²)(1+1/2^4)(1+1/2^8)+1/2^15
=2x(1-1/2²)(1+1/2²)(1+1/2^4)(1+1/2^8)+1/2^15
=2x(1-1/2^4)(1+1/2^4)(1+1/2^8)+1/2^15
=2x(1-1/2^8)(1+1/2^8)+1/2^15
=2(1-1/2^16)+1/2^15
=2-1/2^15+1/2^15
=2