Prove that $2^n>2n$ for all integral values of n greater than 2
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
78726
Prove via mathematical induction that $4n < 2^n$ for all $ n≥5$.
27147
Proving $n! > n^3$ for all $n > a$
153123
Proving by induction $4^n  0$
133406
$n^a$ integral for all integer $n$ implies $a$ integral
4970
For $n \geq 2$, show that $n \nmid 2^{n}-1$
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
142132
How do you prove $\sum \frac {n}{2^n} = 2$?
11867
Prove by induction that $n < 2^n$ for all $n \ge 1$
86479
How to Prove with Mathematical Induction $3^n > n^2$
42292
Show that $a_n<\sqrt{2}$ for every $n\in\mathbb{N}$.
77091
Inequality $\binom{2n}{n}\leq 4^n$
79847
proving of inequality $(n!)^2 \leq n^n\cdot n!\leq (2n!)$, where $n\in \mathbb{N}$
130093
Prove by Induction : $n < 2^n$
52157
Prove that $d(n)\leq 2\sqrt{n}$
140409
Prove that $\sqrt{n} > \ln n$
2554
Show that if $n>2$, then $(n!)^2>n^n$.