1/15+1/35+1/63+1/99+1/143

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 08:49:20
1/15+1/35+1/63+1/99+1/143

1/15+1/35+1/63+1/99+1/143
1/15+1/35+1/63+1/99+1/143

1/15+1/35+1/63+1/99+1/143
1/15+1/35+1/63+1/99+1/143
=[1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13]/2
=[1/3-1/13]/2
=5/39

你好
原式=1/3*1/5+1/5*1/7+1/7*1/9+1/9*1/11+1/11*1/13
=[(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)+(1/11-1/13)]/2
=(1/3-1/13)/2
=10/39/2
=5/39