已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 06:27:27

已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3

已知:1-1/2=1/2,1/2-1/3=1/6,1/3-1/4=1/12……你能很快算出1/2+1/6+1/12+1/20+1/3
1/2+1/6+1/12+1/20+1/30
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6;

17/15

1/2+1/6+1/12+1/20+1/3=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=5/6