1x2=三分之一{1x2x3-0x1x2};2x3-三分之一{2x3x4-1x2x3}:3x4-三分之一{3x4x5-2x3x4}.

2024-12-14 04:14:50
推荐回答(1个)
回答1:

1X2+2X3+3X4+、、、、、、+nX(n+1)
=(1/3)(1*2*3-0*1*2)+(1/3)(2*3*4-1*2*3)+(1/3)(3*4*5-2*3*4)+....+(1/3)[n*(n+1)(n+3)-(n-1)*n*(n+1)]
=(1/3)[n(n+1)(n+2)-0]
=n(n+1)(n+2)/3