1乘2加2乘3加3乘4加到n乘n+1是多少

2024-12-21 06:51:16
推荐回答(1个)
回答1:

1*2+2*3+3*4+……+n(n+1)
=1^2+2^2+……+n^2+1+2+3+……+n
=n(n+1)(2n+1)/6+n(n+1)/2
=n(n+1)(n+2)/3