1/2+1/4+1/8……+1/256+1/512+1/1024 简便计算,

来源：学生作业学帮网编辑：学帮网时间：2024/05/15 15:58:17

=1/2+1/4+1/8……+1/256+1/512+1/1024 +1/1024-1/1024
=1/2+1/4+1/8……+1/256+1/512+1/512-1/1024
=1-1/1024
=1023/1024

　Sn =(a1-an*q)/(1-q) (q≠1) ={1/2-1/1024*(1/2)}/(1-1/2)=(1/2-1/2048)/(1/2)=1023/1024