简算1+1/2+1/4+1/8+1/16+...+1/256=?

问题描述:

简算1+1/2+1/4+1/8+1/16+...+1/256=?

1+1/2+1/4+1/8+1/16+...+1/256
=(1+1/2+1/4+1/8+1/16+...+1/256+1/256)-1/256
=2-1/256
=1又255/256