Prove by induction $(1+x)^n≥1+nx, ∀x>-1, ∀n∈N$
40420
Proof by induction of Bernoulli's inequality: $(1 + x)^n \geq 1 + nx$
125028
Prove the following equality using mathematical induction:
55266
Prove that $(n+1)^{n-1}<n^n$
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
123757
Proving a summation inequality with induction
106868
Prove that $x+\frac1{4x} ≥ 1$ for $x>0$
135807
I'm having trouble with a proof by induction
51877
Why is this 'Proof' by induction not valid?
41784
Prove using mathematical induction that $n < 3 ^n$ for all positive integers n.
51730
How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?
154133
Flawed proof by induction that $a^{n-1}=1$
63652
Mathematical induction for inequalities: $\frac1{n+1} + \frac1{n+2} + \cdots +\frac1{3n+1} > 1$
13291
Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
52115
Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction
95000
Using induction to prove that $2 \mid (n^2 − n)$ for $n\geq 1$
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$