Induction: Showing that an integer number is for any natural N
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Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.
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Induction: prove using congruences
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Proof by Induction - Math
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Fake induction proofs
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How to prove the mathematical induction is true?
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Is induction valid when starting at a negative number as a base case?
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Induction to prove $2n + 3 < 2^n$
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$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
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Prove by Induction : $n < 2^n$
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How to solve for any given natural number n?
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Proving mathematical induction with arbitrary base using (weak) induction
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Proving by induction $4^n  0$
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Proving with induction $(1-x)^n<\frac 1 {1+nx}$
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Prove that for any natural number $n>1$, we have $(2n)!<(n(n+1))^n$
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Prove by induction that for all $n \geq 3$: $n^{n+1} > (n+1)^n$
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Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
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Use induction to prove the following: $1! + 2! + .... + n! \le (n + 1)!$