induction proof: $\sum_{k=1}^nk^2 = \frac{n(n+1)(2n+1)}{6}$
16472
Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$
136580
Proving $\sum_{k=0}^n\binom{2n}{2k} = 2^{2n-1}$
50670
Use Mathematical Induction to prove 6 divides $n(n+1)(2n+1)$
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$
138683
Proving $\prod_{i=2}^{i=n} \left(1-\frac{1}{i^2}\right) = \frac{n+1}{2n}$ by induction
139074
Question about $a_n=\sum_{k=1}^n \frac{n}{n^2+k}\ $for $ n \in\mathbb{N}$
37007
Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
9046
Prove that $\sum_{k=0}^{m}\frac{\binom{m}{k}}{\binom{n}{k}}=\frac{n+1}{n+1-m}$
52113
Proof by Induction $\sum_{i=0}^{k-1} 2^i = 2^k-1$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
16177
Proof by Induction: $\sum_0^nx^i=(1-x^{n+1})/(1-x)$
65672
Proof of the summation $n!=\sum_{k=0}^n \binom{n}{k}(n-k+1)^n(-1)^k$?
44328
Prove that $\sum_{k=1} ^ n k^{-1} = \ln(n) + O(1)$
114212
How to use Mathematical Induction to prove $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \cdots + \frac{1}{n(n + 1)} = \frac{n}{n + 1}$?
128913
A proof of $\sum_{i=1}^{n}(-1)^{i-1}\binom{n}{i}\frac{1}{i}=\frac{1}{1}+\frac{1}{2}+....+\frac{1}{n}$
27304
Proving $ 1+\frac{1}{4}+\frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$ for all $n\geq 2$ by induction
36436
Proving $\sum_{k=1}^n k k!=(n+1)!-1$