1/12+1/23+1/34+···+1/10001001这道题怎么算

分类: 作业答案 • 2021-12-20 01:31:57

问题描述：

1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算

答

1/(1×2)+1/(2×3)+1/(3×4)+...+1/(1000×1001)
=1-1/2+1/2-1/3+1/3-1/4+...+1/1000-1/1001
=1-1/1001
=1000/1001

1/1*2+1/2*3+1/3*4+···+1/1000*1001这道题怎么算