Induction example, where base case harder to prove than inductive step
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What are some examples of induction where the base case is difficult but the inductive step is trivial?
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How to prove the mathematical induction is true?
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Induction with floor, ceiling $n\le2^k\implies a_n\le3\cdot k2^k+4\cdot2^k-1$ for $a_n=a_{\lfloor\frac{n}2\rfloor}+a_{\lceil\frac{n}2\rceil}+3n+1$
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Mathematical induction question: why can we "assume $P(k)$ holds"?
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Proving mathematical induction with arbitrary base using (weak) induction
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Proof by Induction that $3^n ≥ 1+2^n$
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I'm having trouble with a proof by induction
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Need help with Proof by Strong Induction question
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Fibonacci proof by induction
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Any reasons why the basis case can't be at the end of a mathematical induction proof?
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Proof by induction - is this correct?
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Proving an inequality by induction, how to figure out intermediate inductive steps?
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Proof by induction: $2^n > n^2$ for all integer $n$ greater than $4$
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Divisibility Proof with Induction - Stuck on Induction Step
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Strong induction and vacuous truth
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Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$
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Strong Mathematical Induction: Why More than One Base Case?