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:2024/06/21 19:12:30
![1/2+1/6+1/12+1/20+1/30+1/42等于多么的过程](/uploads/image/z/189821-29-1.jpg?t=1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%E7%AD%89%E4%BA%8E%E5%A4%9A%E4%B9%88%E7%9A%84%E8%BF%87%E7%A8%8B)
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