(1-1/15)+(1-1/35)+(1-1/63)+(1-1/99)+(1-1/143)+(1-1/195)+(1-1

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/06/10 14:40:07

(1-1/15)+(1-1/35)+(1-1/63)+(1-1/99)+(1-1/143)+(1-1/195)+(1-1/255)+(1-1/323)+(1-1/399)+(1-1/483)

(1-1/15)+(1-1/35)+(1-1/63)+(1-1/99)+(1-1/143)+(1-1/195)+(1-1/255)+(1-1/323)+(1-1/399)+(1-1/483)
=(1+1+.1)-(1/15-1/35-1/63-.1/399-1/483)
=9-(1/3-1/5+1/5-1/7+1/7-1/9+.1/19-1/21+1/21-1/23)
=9-(1/3-1/23)
=9-20/69
=8又49/69
再问：错了，应9减1/2*（1/3-1/5……1/21-1/23）
再答：嗯， =9-1/2(1/3-1/5+1/5-1/7+1/7-1/9+............1/19-1/21+1/21-1/23) =9-1/2(1/3-1/23) =9-10/69 =8又59/69 疏忽了忘谅解

(1-1/15)+(1-1/35)+(1-1/63)+(1-1/99)+(1-1/143)+(1-1/195)+(1-1 简算：3/1+15/1+35/1+63/1+99/1+143/1+195/1=? 1/3+1/15+1/35+1/63+1/99+1/143+1/195简便 1/15+1/35+1/63+1/99+1/143+1/195的简便算法 30*(1/15+1/35+1/63+1/99+1/143+1/195)= 30*(1/15+1/35+1/63+1/99+1/143+1/195) 简便方法 1/15+1/35+1/63+1/99+1/143+1/195用裂项做 1/15+1/35+1/63+1/99+1/143 计算1/3+1/15+1/35+1/63+1/99+1/143+1/195+255+1/323+1/399 1+1/15+3+1/35+5+1/63+7+1/99+9+1/143+11+1/195=? (1+1/15)+(3+1/35)+(5+1/63)+(7+1/99)+(9+1/143)+(11+1/195) 1/3+1/15+1/35+1/63+1/99+1/143+1/195=?请简便计算.