## Proving divisibility by using induction: $133 \mid (11^{n+2} + 12^{2n+1})$ duplicate February 10 1

This question already has an answer here: Show that $11^{n+1}+12^{2n-1}$ is divisible by $133$. 5 answers If $n > 0$, then prove the following by using induction: $$133|(11^{n+2} + 12^{2n+1}).$$Inductive step:$$\begin{align}11^{(n+1) + 2} + 12^{2(n+1