化简:+2×2!+3×3!+……+n×n!

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 07:14:12
化简:+2×2!+3×3!+……+n×n!化简:+2×2!+3×3!+……+n×n!化简:+2×2!+3×3!+……+n×n!原式=(2-1)×1!+(3-1)×2!+……+(n+1-1)×n!=2×

化简:+2×2!+3×3!+……+n×n!
化简:+2×2!+3×3!+……+n×n!

化简:+2×2!+3×3!+……+n×n!
原式=(2-1)×1!+(3-1)×2!+……+(n+1-1)×n!
=2×1!+3×2!+……+(n+1)×n!-1!-2!-……n!
=2!+3!+……(n+1)!-1!-2!-……-n!
=(n+1)!-1