Inductive proof of: $3^n ≥ 1 + 2^n $, every $n\in\mathbb{N}$.
67527
Proof by Induction that $3^n ≥ 1+2^n$
85731
Prove by induction that $n! > n^2$
134000
Proof by Strong Induction: $n = 2^a b,\, b\,$ odd, every natural a product of an odd and a power of 2
114867
Prove $\forall n\geq 2,n\in\mathbb{Z}$, $(n+1)\mid(n^3+1)$
15838
Induction Proof that $x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+\ldots+xy^{n-2}+y^{n-1})$
130488
Prove by induction that $3\mid n^3 - n$
10604
Prove $3^n > n^2$ by induction
22073
Prove by induction that $n^2<n!$
62556
Prove $3|n(n+1)(n+2)$ by induction
121107
Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
1125
Inductive proof that ${2n\choose n}=\sum{n\choose i}^2.$
51730
How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
24403
Prove that $ n < 2^{n}$ for all natural numbers $n$.
8609
Prove by induction that $n!>2^n$
13330
Inductive Proof that $k!<k^k$, for $k\geq 2$.
16798
Prove the inequality $n! \geq 2^n$ by induction