Proving inequality $4n<2^n$ using induction all natural numbers that's greater than or equal to 5
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Prove via mathematical induction that $4n < 2^n$ for all $ n≥5$.
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Proof that $n^2 < 2^n$
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Proof by Induction - Math
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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
136737
Proof by Induction for inequality, $\sum_{k=1}^nk^{-2}\lt2-(1/n)$
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Proving by induction $4^n  0$
45914
Proving that $n!≤((n+1)/2)^n$ by induction
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Proof by Induction that $3^n ≥ 1+2^n$
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Proof related to natural numbers
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Prove by induction that $n < 2^n$ for all $n \ge 1$
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Proof with inequalities
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How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?
62177
Prove that: $2^n < n!$ Using Induction
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$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
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Number Theory Inequality Proof
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 $a_i \geq 1$
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Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.