New posts in Induction

On Mathematical Induction

Show that $\frac{1}{x_1^2}+\frac{1}{4\cdot x_2^2}+\ldots+\frac{1}{n^2\cdot x_n^2}\leq\frac{3n-2}{2n-1}$.

Proof by induction:$\frac{3}{5}\cdot\frac{7}{9}\cdot\frac{11}{13}\cdots\frac{4n-1}{4n+1}<\sqrt{\frac{3}{4n+3}}$

Proof that base -2 with binary digits can form every integer

Finding $a_n$ when $a_1=5$, $a_n a_{n+1}=2a_n-1$ $(n \in \mathbb{N})$ (Question Edited)

Inductive proof of gcd Bezout identity (from Apostol: Math, Analysis 2ed)

Proof that $n^3 \leq 2^n$ for $n \geq 10$ by induction

Sum of squares of products of subsets without neighboring elements equals $(N+1)! -1$

How to prove $\forall k \exists y \forall x (x < y \Leftrightarrow \forall n (n < x \Rightarrow n < k))$?

Problem with induction proof in textbook.