Sn=1*2*3+2*3*4+......+n(n+1)(n+2)
an=n(n+1)(n+2)
=((n+3)-(n-1))/4*n(n+1)(n+2)
=[n(n+1)(n+2)(n+3)-(n-1)n(n+1)(n+2)]/4
加起来,可以狂消
Sn=[n(n+1)(n+2)(n+3)-0]/4
=n(n+1)(n+2)(n+3)/4
an=n(n+1)(n+2)
=((n+3)-(n-1))/4*n(n+1)(n+2)
=[n(n+1)(n+2)(n+3)-(n-1)n(n+1)(n+2)]/4
加起来,可以狂消
Sn=[n(n+1)(n+2)(n+3)-0]/4
=n(n+1)(n+2)(n+3)/4