1/2+1/6+1/12+1/20+.1/110=?

来源：学生作业帮助网编辑：六六作业网时间：2024/11/28 18:21:44

1/2+1/6+1/12+1/20+.1/110=?1/2+1/6+1/12+1/20+.1/110=?1/2+1/6+1/12+1/20+.1/110=?1/2+1/6+1/12+1/20+.1/1

1/2+1/6+1/12+1/20+.1/110=?
1/2+1/6+1/12+1/20+.1/110=?

1/2+1/6+1/12+1/20+.1/110=?
1/2+1/6+1/12+1/20+.1/110
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+.+1/(10*11)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/10-1/11
=1-1/11
=10/11