Use mathematical induction to prove that $\sum_{j=1}^n \frac{1}{(j^2-1)}$ = $\frac{3}{4}$ - $\frac{2n+1}{2n(n+1}$ for all n $\geq$ 2
138542
Evaluating sums question $\sum_{k=2}^n \frac{1}{k^2-1}$
11407
Proving the summation formula using induction: $\sum_{k=1}^n \frac{1}{k(k+1)} = 1-\frac{1}{n+1}$
122019
Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$
123853
Finding a formula for $1+\sum_{j=1}^n(j!)\cdot j$ using induction
40348
Proving by mathematical induction: $1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+...+\frac{1}{\sqrt{n}}>2(\sqrt{n+1}-1)$
50670
Use Mathematical Induction to prove 6 divides $n(n+1)(2n+1)$
138683
Proving $\prod_{i=2}^{i=n} \left(1-\frac{1}{i^2}\right) = \frac{n+1}{2n}$ by induction
120093
Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
13291
Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
38995
Induction proof that $\sum_{j=n}^{2n-1} (2j + 1) = 3n^2$ - what happened?
70625
Prove By Induction $1 + 1/2 + 1/3 + ... + 1/(2^n) ≥ 1 + n/2$
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
54055
Proof $\prod_{i = 1}^n \frac{n + i}{2i-3} = 2^n(1-2n)$ using inducction
136737
Proof by Induction for inequality, $\sum_{k=1}^nk^{-2}\lt2-(1/n)$
52113
Proof by Induction $\sum_{i=0}^{k-1} 2^i = 2^k-1$
114212
How to use Mathematical Induction to prove $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \cdots + \frac{1}{n(n + 1)} = \frac{n}{n + 1}$?
101899
Proof By Induction of a Sum