How to simplify $\sum_{k=1}^nk\cdot k!$
36436
Proving $\sum_{k=1}^n k k!=(n+1)!-1$
15932
How to simplify the summation kk! without using induction?
119759
Help ending a proof using binomial theorem: $\sum_{k=0}^n {n \choose k}\cdot\frac{(-1)^k}{k+1} = \frac{1}{n+1}$
99453
Sum of $k$-th powers
10976
Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$
92704
Prove that $\sum_{k=1}^{n}k\binom{n}{k}=n\cdot2^{n-1}$
39909
Getting a closed form from $\sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \sum_{k=1}^{j} 1$
44111
Find the value of $\sum_{k=1}^{n}k\binom{n}{k}$?
35525
Methods to compute $\sum_{k=1}^nk^p$ without Faulhaber's formula
48200
Simplify $\sum_{i=0}^n (i+1)\binom ni$
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
44328
Prove that $\sum_{k=1} ^ n k^{-1} = \ln(n) + O(1)$
18397
Factorial sum estimate $\sum_{n=m+1}^\infty \frac{1}{n!} \le \frac{1}{m\cdot m!}$
155562
Proving $\sum_{k=1}^nk^3 = \left(\sum_{k=1}^n k\right)^2$ using complete induction
40784
$\sum_{k=m}^{n}(-1)^k\binom{n}{k}\binom{k}{m}=0, n>m\geq 0$
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
64378
Proving a binomial sum identity $\sum _{k=0}^n \binom nk \frac{(-1)^k}{2k+1} = \frac{(2n)!!}{(2n+1)!!}$