1-1/2-1/4-1/8-.-1/1024=?

分类: 作业答案 • 2021-12-20 11:14:12

问题描述：

1-1/2-1/4-1/8-.-1/1024=?
我知道这一题每次都分一半,最后等于1/1024,

答

1-1/2-1/4-1/8-.-1/1024
=1-(1/2+14+1/8+...+1/1024)
=1-(1/2)[1-(1/2)^10]/[1-(1/2)]
=1-1+(1/2)^10
=(1/2)^10
=1/1024