作业帮1/2+1/6+1/12+1/20+1/30+1/42等于多么的过程
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 03:13:19
1/2+1/6+1/12+1/20+1/30+1/42等于多么的过程
1/2+1/6+1/12+1/20+1/30+1/42等于多么的过程
1/2+1/6+1/12+1/20+1/30+1/42等于多么的过程
1/2+1/6+1/12+1/20+1/30+1/42
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-1/7
=6/7
=1/(1*2)+1/(2*3)+..+1/(6*7)=1/1-1/2+1/2-1/3+..+1/6-1/7=1-1/7=6/7
1/2+1/6+1/12+1/20+1/30+1/42
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)
=1/2+1/2-1/7
=6/7