Proving the formula by induction on n
8476
Proof of the Hockey-Stick Identity: $\sum\limits_{t=0}^n \binom tk = \binom{n+1}{k+1}$
26790
Proving the geometric sum formula by induction
7003
Inductive proof of a formula for Fibonacci numbers
108596
Proof by induction for "sum-of"
96332
Prove by induction that $\sqrt[n+1]{n+1}<\sqrt[n]{n}$ for $n\ge 3$
17714
Proof $\sum_{k=1}^n (-1)^{k+1} \binom{n}{k}\frac{1}{k} = H_n$ by induction
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
123967
Proof of a generating functions formula
94389
Proving formula for product of first n odd numbers
82774
Prove by mathematical induction that $n^3 - n$ is divisible by $3$ for all natural number $n$
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} $
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
123820
Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
4991
Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$
79652
Proof by induction that $2 + 4 + 6 + \cdots + 2n = n(n+1)$
12487
Prove derangement formula by induction
45914
Proving that $n!≤((n+1)/2)^n$ by induction