1/2+1/6+1/12+1/24+1/48+1/56

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/23 17:41:26
1/2+1/6+1/12+1/24+1/48+1/561/2+1/6+1/12+1/24+1/48+1/561/2+1/6+1/12+1/24+1/48+1/561/2+1/6+1/12+1/24+1

1/2+1/6+1/12+1/24+1/48+1/56
1/2+1/6+1/12+1/24+1/48+1/56

1/2+1/6+1/12+1/24+1/48+1/56
1/2+1/6+1/12+1/24+1/48+1/56
=1-½+½-1/3+1/3-¼+1/8-1/12+1/12-1/16+1/7-1/8
=1+(-½+½)+(-1/3+1/3)-¼+(1/8-1/8)+(-1/12+1/12)-1/16+1/7
=1+0+0-¼+0+0-1/16+1/7
=¾-1/16+1/7
=11/16+1/7
=93/112