1/2(1+1/2)(1+1/4)(1+1/16)等于多少?

问题描述:

1/2(1+1/2)(1+1/4)(1+1/16)等于多少?

=(1-1/2)*(1+1/2)*(1+1/4)*(1+1/16)
= (1-1/4)*(1+1/4)*(1+1/16)
= (1-1/16)*(1+1/16)
= 1-1/256
= 255/256