1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=?
1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1/2-1/10
=2/5