1/2+1/6+1/12+...＋1/156等于多少

分类: 作业答案 • 2022-01-09 18:01:51

问题描述：

答

1/2+1/6+1/12+...＋1/156
=1/(1*2)+1/(2*3)+1/(3*4)+……+1/(12*13)
=(1-1/2+1/2-1/3+1/3-1/4+……+1/12-1/13)
=1-1/13
=12/13