Is there any simplification of $1!+2!+3!+4!...n!$?

Asked Oct 18 '17 at 10:05

Active Oct 18 '17 at 10:05

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I am aware that there is a formula $^nC_0 + {^n}C_1 + {^n}C_2 + {^n}C_3 + ... {^n}C_n=2^n$.

Is there any similar formula to calculate the value of $1!+2!+3!+4!...n!$?

Can this be otherwise denoted as the sum of any progression? Like a Geometric Progression, or an Arithmetico-Geometric Progression?

asked Oct 18 '17 at 10:05

Abhigyan

@kingW3 Agreed. Although, it didn't turn up when I searched for it... – Abhigyan Oct 18 '17 at 10:12
1

Yeah the search function isn't ideal, I've used google to find this. – kingW3 Oct 18 '17 at 10:13

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