1/2+1/4+1/8+1/16+...+1/1024

问题描述:

1/2+1/4+1/8+1/16+...+1/1024

1/2+1/4+1/8+1/16+...+1/1024为一个等比数列的和,
Sn=[A1(1-q^n)]/(1-q)
=1/2(1-1/2^10) /1- 1/2
=1-1/2^10
=1023/1024