1/2+1/6+1/12+...＋1/156等于多少

分类: 作业答案 • 2021-12-19 16:51:38

问题描述：

答

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

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