New posts in induction

All natural numbers are equal.

Why doesn't induction extend to infinity? (re: Fourier series)

What exactly is the difference between weak and strong induction?

Proof that $n^2 < 2^n$

Good examples of double induction

induction proof: $\sum_{k=1}^nk^2 = \frac{n(n+1)(2n+1)}{6}$ [duplicate]

Induction Proof that $x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+\ldots+xy^{n-2}+y^{n-1})$

Proof by induction of Bernoulli's inequality: $(1 + x)^n \geq 1 + nx$

Prove $n-m \mid n^r - m^r\,$ [Factor Theorem, monomial case]

Induction: $\sum_{k=0}^n \binom nk k^2 = n(1+n)2^{n-2}$

Inductive Proof that $k!<k^k$, for $k\geq 2$.

How does one actually show from associativity that one can drop parentheses?

Proving $\sum\limits_{i=0}^n i 2^{i-1} = (n+1) 2^n - 1$ by induction

Prove $n + H(1) + H(2) + H(3) + ... + H(n-1) = nH(n)$ by induction

Prove by induction that $n^2<n!$

Fake induction proofs

Proving formula for product of first n odd numbers

Why is mathematical induction a valid proof technique? [duplicate]

Prove that $\left(\sum^n_{k=1}x_k\right)\left(\sum^n_{k=1}y_k\right)\geq n^2$

Proving the geometric sum formula by induction