1/(2^3)+1/(2^3+1)+1/(2^3+2)+1/(2^3+3)+...+1/(2^4-1)

就是1/6+1/7+1/8+1/9啊
没有很简便的运算,就是需要通分,你可以两两公倍数小的先算,我是先算的1/6+1/8=7/24
然后7/24+1/9=29/72
29/72+1/7=275/504
呵呵不过我运算经常出错,你自己仔细算算哈