Why can we assume a statement is true for $n = k$, when using induction?
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Mathematical induction question: why can we "assume $P(k)$ holds"?
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Proving divisibility of expression using induction
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Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
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Induction, 0'1 and 1's sequence fun question
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Prove $n!>2^n$ for $n\geq4$ using induction.
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Proof by Induction for inequality, $\sum_{k=1}^nk^{-2}\lt2-(1/n)$
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Proof by Induction $\sum_{i=0}^{k-1} 2^i = 2^k-1$
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$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
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Induction on Real Numbers
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Proof of $k {n\choose k} = n {n-1 \choose k-1}$ using direct proof
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Prove by mathematical induction.
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induction with 2 recursive sequnces
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Induction without a base case
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Induction with Binomial Coefficients
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Induction: $\sum_{k=0}^n \binom nk k^2 = n(1+n)2^{n-2}$
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Prove the following equality using mathematical induction:
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Proof writing: how to write a clear induction proof?