help solve $133| 11^{n+1} + 12^{2n-1}$ by induction
15631
Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$.
26588
Prove by induction that $10^n -1$ is divisible by 11 for every even natural number
962
divisibility problem using induction
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
31344
Proving $2^{2^n}+3^{2^n}+5^{2^n}$ is divisible by $19$ for all $n\geq 1$ by induction
121544
Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$
108382
Prove $x^n-1$ is divisible by $x-1$ by induction
135807
I'm having trouble with a proof by induction
65315
Showing $1+2+\cdots+n=\frac{n(n+1)}{2}$ by induction (stuck on inductive step)
62613
Need to proof by induction (calculus1 n and n+1)
130093
Prove by Induction : $n < 2^n$
57491
Double induction example: $ 1 + q + q^2 + q^3 + \cdots + q^{n-1} + q^n = \frac {q^{n+1}-1}{q-1} $
134202
Proof by Induction - Math
31074
Mathematical Induction divisibility $8\mid 3^{2n}-1$
8609
Prove by induction that $n!>2^n$
45037
Show $(2^m-1,2^n+1)=1$ if $m$ is odd
131771
Prove by induction that $\sum_{i=1}^{2^n} \frac{1}{i} \ge 1+\frac{n}{2}, \forall n \in \mathbb N$