Induction for $3^n\geq n^2$
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How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?
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Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction
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How to prove by induction that $\frac{a^n+b^n}{2}\geq\left(\frac{a+b}{2}\right)^n$?
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Need help with Proof by Strong Induction question
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Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
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Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
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Proving $4^n > n^4$ holds for $n\geq 5$ via induction.
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Prove $\sqrt{2\sqrt{3\sqrt{\cdots\sqrt{n}}}}<3$ by induction.
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Prove by induction that $n! > n^2$
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Proof of inequality $2(\sqrt{n+1}-\sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n} - \sqrt{n-1})$ using induction
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Proving $1^3+ 2^3 + \cdots + n^3 = \left(\frac{n(n+1)}{2}\right)^2$ using induction
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Prove by induction that $n!>2^n$
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proof using the mathematical induction
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Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
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Proving this inequality by mathematical induction
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Proving a summation inequality with induction
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Prove by induction that $3\mid n^4-n^2$ for all $n \in \mathbb{Z^+}$, $n\ge2$.