Prove that $(n!)^2 ≥ n^n$ using mathematical induction
2554
Show that if $n>2$, then $(n!)^2>n^n$.
79847
proving of inequality $(n!)^2 \leq n^n\cdot n!\leq (2n!)$, where $n\in \mathbb{N}$
2197
Induction principle for $n!<n^n$
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
121107
Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
42285
Prove by mathematical induction.
155897
Proof by induction - is this correct?
71918
Mathematical Induction
136274
$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
14435
Show by induction: $(1+\frac{1}{n})^{n}<n$
105854
Prove $n^2(n^4-1)$ is divisible by 60 using Mathematical Induction.
68480
Proof by Induction: Prove that $2^n > n^2$, for all natural numbers greater than or equal to $5$
59280
Need help with Proof by Strong Induction question
152577
Proving $4^n > n^4$ holds for $n\geq 5$ via induction.
143357
Comparing $2^n$ to $n!$
95000
Using induction to prove that $2 \mid (n^2 − n)$ for $n\geq 1$
6165
Proof by Induction $n^2+n$ is even