作业帮1/5*8+1/8*11+1/11*14+1/14*17+1/17*20=?怎样算
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/15 07:59:08
1/5*8+1/8*11+1/11*14+1/14*17+1/17*20=?怎样算
1/5*8+1/8*11+1/11*14+1/14*17+1/17*20=?怎样算
1/5*8+1/8*11+1/11*14+1/14*17+1/17*20=?怎样算
1/(5*8)=(1/3)*(1/5-1/8)
1/(8*11)=(1/3)*(1/8-1/11)
其他项同理
原式=(1/3)*(1/5-1/8+1/8-1/11+...+1/17-1/20)
=(1/3)*(1/5-1/20)
=1/20