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What is the formula for $\frac{1}{1\cdot 2}+\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+\cdots +\frac{1}{n(n+1)}$

What is the algebraic intuition behind Vieta jumping in IMO1988 Problem 6?

Inductive proof that ${2n\choose n}=\sum{n\choose i}^2.$

Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction

Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$

Prove the inequality $n! \geq 2^n$ by induction

Questions on "All Horse are the Same Color" Proof by Complete Induction

Induction on Real Numbers

Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$

Do we know if there exist true mathematical statements that can not be proven?

How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)

Proof writing: how to write a clear induction proof?

Dominoes and induction, or how does induction work?

Why is $a^n - b^n$ divisible by $a-b$?

Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction

Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$

New posts in induction

Surprise exam paradox?

What's the difference between simple induction and strong induction?

Prove by induction that for all $n \geq 3$: $n^{n+1} > (n+1)^n$

What is the formula for $\frac{1}{1\cdot 2}+\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+\cdots +\frac{1}{n(n+1)}$

What is the algebraic intuition behind Vieta jumping in IMO1988 Problem 6?

Inductive proof that ${2n\choose n}=\sum{n\choose i}^2.$

Proving $\sum\limits_{k=1}^{n}{\frac{1}{\sqrt{k}}\ge\sqrt{n}}$ with induction

Proving by induction that $ \sum_{k=0}^n{n \choose k} = 2^n$

Prove the inequality $n! \geq 2^n$ by induction

Questions on "All Horse are the Same Color" Proof by Complete Induction

Induction on Real Numbers

Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$

Do we know if there exist true mathematical statements that can not be proven?

How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)

Proof writing: how to write a clear induction proof?

Dominoes and induction, or how does induction work?

Why is $a^n - b^n$ divisible by $a-b$?

Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction

Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$