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

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

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

0.5*(1-0.5^10)/(1-0.5).....你到网上查查"等比数列"...会很详细的..