3/1+1/15+1/35+1/63+1/99+1/143 简便计算
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 22:41:11
![3/1+1/15+1/35+1/63+1/99+1/143 简便计算](/uploads/image/z/11347-43-7.jpg?t=3%2F1%2B1%2F15%2B1%2F35%2B1%2F63%2B1%2F99%2B1%2F143+%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97)
x)37674 HXZLkxounTOr;PHANI.Hc
2His
2HRiWEȴ/.H̳ T
3/1+1/15+1/35+1/63+1/99+1/143 简便计算
3/1+1/15+1/35+1/63+1/99+1/143 简便计算
3/1+1/15+1/35+1/63+1/99+1/143 简便计算
1/3+1/15+1/35+1/63+1/99+1/143
=1/2 (2/3+2/15+2/35+2/63+2/99+2/143)
=1/2 (1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13)
=1/2(1-1/13)
=6/13