1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,…… 根据规律计算下面的题目:1/2+1/6+1/12+1/20+1/30

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 05:01:50
1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,…… 根据规律计算下面的题目:1/2+1/6+1/12+1/20+1/30

1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,…… 根据规律计算下面的题目:1/2+1/6+1/12+1/20+1/30
1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,…… 根据规律计算下面的题目:1/2+1/6+1/12+1/20+1/30

1/2=1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,…… 根据规律计算下面的题目:1/2+1/6+1/12+1/20+1/30
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

原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=1-1/6=5/6

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