List questions from induction | MathQA

Proving $\frac{1}{1\cdot3} + \frac{1}{2\cdot4} + \cdots + \frac{1}{n\cdot(n+2)} = \frac{3}{4} - \frac{(2n+3)}{2(n+1)(n+2)}$ by induction for $n\geq 1$

Published on 17 Apr 2026 - 13:47

Proving that $P\left ( \bigcup_{i=1}^{n}A_{i} \right )\leq \sum_{i=1}^{n}P(A_{i})$ by induction

Published on 16 Apr 2026 - 6:26

Proving recursive formula via induction leads to extra term?

Published on 30 Apr 2026 - 8:08

Principle of mathematical induction to prove well ordering principle for set of rationals.

Published on 09 Apr 2026 - 14:19

Can I use induction by $|V|$ here?

Published on 10 Apr 2026 - 23:25

Prove that $n!>n^2$ for all integers $n \geq 4$.

Published on 15 Apr 2026 - 23:32

Induction proof question

Published on 12 Apr 2026 - 6:49

Show that $1/\sqrt{1} + 1/\sqrt{2} + ... + 1/\sqrt{n} \leq 2\sqrt{n}-1$

Published on 17 Apr 2026 - 6:25

Induction proving for $3^{n}+1 | 3^{3n}+1$

Published on 14 Apr 2026 - 18:59

Prove $\sum\limits^m_{k=0} \frac{2n-k\choose k}{2n-k\choose n}\frac{2n-4k+1}{2n-2k+1}2^{n-2k}=\frac{n\choose m}{2n-2m\choose n-m}2^{n-2m}$ for-

Published on 17 Apr 2026 - 6:14

solving for the inductive step in a proof by induction

Published on 14 Apr 2026 - 16:02

Strong induction on property of integers involving sets

Published on 12 Apr 2026 - 3:45

Does $(p(0) \wedge (P(n) \implies P(n-1))) \implies P(n) \forall n\leq 0$?

Published on 17 Apr 2026 - 16:01

Find the mistake of the inductive proof for $r^n=1$

Published on 15 Apr 2026 - 15:55

What is wrong with this inductive proof?

Published on 11 Apr 2026 - 4:08