1/2+1/6+1/12+1/20+……+1/110等于多少?

Answer 1

1/2=1/（1*2）=1-1/21/6=1/（2*3）=1/2-1/31/12=1/（3*4）=1/3-1/4……1/110=1/（10*11）=1/10-1/111/2+1/6+1/12+1/20+……+1/110=1-1/2+1/2-1/3+1/3-1/4+.+1/10-1/11=1-1/11=10/11