Using Newton's binomial theorem to prove that a sum evaluates to $36^n-26^n$
113943
Prove this equality by using Newton's Binomial Theorem
10875
proof of binomial identity involving double sum
17638
Sum with binomial coefficients: $\sum_{k=0}^{n}{2n\choose 2k}$
19868
Evaluate: $ \sum _ {k=1}^{n}{\frac{k}{n}\binom{n}{k}t^k(1-t)^{n-k}}$
117200
Evaluation of $ \sum_{k=0}^n \cos k\theta $
4855
How to show that this binomial sum satisfies the Fibonacci relation?
94060
Sum of square binomial coefficients
80177
Sum from $n=1$ to $N$ of $\sin(nx)/2^n$
18046
Prove the following equality: $\sum_{k=0}^n\binom {n-k }{k} = F_n$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
111098
Prove $2^{2n} = \sum_{k=0}^{n}\binom{2n+1}{k}$
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
10191
Binomial theorem: divisibility by $n^2$
30338
How to prove that $\sum_{k=0}^n \binom nk k^2=2^{n-2}(n^2+n)$
1258
Prove $3^n = \sum_{k=0}^n \binom {n} {k} 2^k$
118372
Combination proof for $n(n+1)2^{n-2}=\sum_{k=1}^{n}k^2\binom{n}{k}$
120976
Proving $\sum_{k=0}^{n}k{n\choose k}^2 = n{2n-1 \choose n-1} $