已知1/2=1-1/2,1/6=1/2-1/3,请计算1/2-1/6-1/12-1/20...-1/132

问题描述:

已知1/2=1-1/2,1/6=1/2-1/3,请计算1/2-1/6-1/12-1/20...-1/132

1/2-1/6-1/12-1/20...-1/132
=1-1/2-1/2+1/3-1/3+1/4-.+1/11-1/12
=1-1/12
=11/12