How can I prove $2^n > n^2 $ by induction using a basis $> 4$
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Proof that $n^2 < 2^n$
101899
Proof By Induction of a Sum
122019
Prove by mathematical induction that $2^{3^n}+1$ is divisible by $3^{n+1}$
8609
Prove by induction that $n!>2^n$
2197
Induction principle for $n!<n^n$
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Proof by Induction $n^2+n$ is even
134000
Proof by Strong Induction: $n = 2^a b,\, b\,$ odd, every natural a product of an odd and a power of 2
5043
Show that $2^n>1+n\sqrt{2^{n-1}}$
75329
Use induction to prove that $F_n \ge \sqrt 2 ^n$ for $n \ge 6$
280
Prove by induction that $5^n - 1$ is divisible by $4$.
45914
Proving that $n!≤((n+1)/2)^n$ by induction
139269
Prove that $2n-3\leq 2^{n-2}$ , for all $n \geq 5$ by mathematical induction
59280
Need help with Proof by Strong Induction question
116518
Proof by induction: $n$th Fibonacci number is at most $ 2^n$
153123
Proving by induction $4^n  0$
62556
Prove $3|n(n+1)(n+2)$ by induction
79145
Proving by induction: $2^n > n^3 $ for any natural number $n > 9$