阶乘和求1*1!+2*2!+3*3!+...+n*n!

问题描述:

阶乘和求1*1!+2*2!+3*3!+...+n*n!

an=n*n!=(n+1)!-n!
代入,
1*1!+2*2!+3*3!+...+n*n!
=2!-1!+3!-2!+……+(n+1)!-n!
=(n+1)!-1