In mathematical induction, does assuming $P(n)$ also assume all $P(k), 0 \leq k < n$?
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What's the difference between simple induction and strong induction?
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Prove by induction. $n \in \mathbb N$.
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Prove the following equality using mathematical induction:
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A (probably trivial) induction problem: $\sum_2^nk^{-2}\lt1$
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Induction Proof $n! < n^n$
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Proving $\sum_{k=1}^n\frac1{\sqrt k}<2\sqrt n$ by induction
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proof using the mathematical induction
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Prove by mathematical induction.
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How to show via inductive proof (and without the use of the binomial theorem) that $ {n\choose k} \in \mathbb{N} $?
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Is induction valid when starting at a negative number as a base case?
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Prove that $a_{n}=0$ for all $n$, if $\sum a_{kn}=0$ for all $k\geq 1$
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Use mathematical induction to prove $ (2n)!\geq 2^n(n!)^2$ for $n \in \mathbb{N}$
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Prove that: $2^n < n!$ Using Induction
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Induction proof of lower bound for $\sum \sqrt n$
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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: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$
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Proof by induction: inequality $n! > n^3$ for $n > 5$