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:2024/06/27 12:05:46
![1/15+1/35+1/63+1/99+1/143=](/uploads/image/z/21816-0-6.jpg?t=1%2F15%2B1%2F35%2B1%2F63%2B1%2F99%2B1%2F143%3D)
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)]/2}+{[(1/5)-(1/7)]/2}+{[(1/7)-(1/9)]/2}+{[(1/9)-(1/11)]/2}+{[(1/11)-(1/13)]/2}
=[(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