Prove by induction the binomial coefficient is always an integer
30136
Proof that a Combination is an integer
44161
Using induction to prove $\sum_{k=0}^{N-1} 2^k = 2^N-1$
34803
Evaluating even binomial coefficients
13525
Prove: If $n=2^k-1$, then $\binom{n}{i}$ is odd for $0\leq i\leq n$
152845
Every integer is the unique sum of a "decreasing" sequence of binomial coefficients
52557
Derivation of binomial coefficient in binomial theorem.
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
125220
Solving binomial theorem via induction
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
26588
Prove by induction that $10^n -1$ is divisible by 11 for every even natural number
130093
Prove by Induction : $n < 2^n$
86194
Infinite series with the binomial coefficient
28541
How to prove the mathematical induction is true?
155897
Proof by induction - is this correct?
13236
Proving equality - a sum including binomial coefficient $\sum_{k=1}^{n}k{n \choose k}2^{n-k}=n3^{n-1}$
92418
Prove by induction Fibonacci equality
87941
Prove by mathematical induction that $\forall n \in \mathbb{N} : \sum_{k=1}^{2n} \frac{(-1)^{k+1}}{k} = \sum_{k=n+1}^{2n} \frac{1}{k} $