规律
1/n(n+1)=1/n-1/(n+1)
2之1+6分之1+12分之1+20分之1+30分之1+42分之1
=1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7
=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
规律
1/n(n+1)=1/n-1/(n+1)
2之1+6分之1+12分之1+20分之1+30分之1+42分之1
=1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7
=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