用 错位相减法求:1\2-1\4+1\8+1\32-1\64=1\128得和.

问题描述:

用 错位相减法求:1\2-1\4+1\8+1\32-1\64=1\128得和.

另sn=1/2-1/4+1/8-1/16+1/32-1/64+1/128
1/2sn=1/4-1/8+1/16-1/32+1/64-1/128+1/256
3/2sn=1/2+1/256=129/256
sn=43/128