List questions from induction

Published on 26 Oct 2014 - 20:40

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Prove that $S_n = 5^n - 1$

Published on 04 Apr 2026 - 19:12

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Prove by induction that $\sum_{i = 1}^{n} \frac{1}{\sqrt{i}} \leq 2\sqrt{n} - 1$

Published on 27 Oct 2014 - 4:50

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How to prove the exponent law with rational exponents by Induction

Published on 27 Oct 2014 - 11:07

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Proof of series with induction

Published on 27 Oct 2014 - 14:20

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Prove $(n!)/n^n \leq 1/2^{k}$, where $k$ is the floor of $n/2$.

Published on 27 Mar 2026 - 11:48

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Proof by induction failure if assumption is wrong?

Published on 26 Mar 2026 - 14:17

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Prove by induction that $7^n < n!$ for all integer $n \ge 21$

Published on 27 Oct 2014 - 20:42

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Prove (by induction?): If $A \subset \mathbb{N}$, $4 \in A$ and $n+1 \in A$ whenever $n \in A$, then $\left\{n \mid n \geq 4 \right\} \subset A$.

Published on 27 Oct 2014 - 22:32

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True or Flawed proof

Published on 28 Oct 2014 - 1:28

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Using induction to prove an equality in harmonic numbers

Published on 26 Mar 2026 - 19:24

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What method to use to find a hypothesis of the solution of the recurrence relation?

Published on 04 Apr 2026 - 19:16

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Proof by Induction that $16 \mid 5^n - 4n - 1$

Published on 01 Apr 2026 - 11:43

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Induction proof for a summation: $\sum_{i=1}^n i^3 = \left[\sum_{i=1}^n i\right]^2$

Published on 29 Oct 2014 - 2:54

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A Problem involving simple mathematical induction.

Published on 29 Oct 2014 - 19:49

List Question

Prove by mathematical induction

Prove that $S_n = 5^n - 1$

Prove by induction that $\sum_{i = 1}^{n} \frac{1}{\sqrt{i}} \leq 2\sqrt{n} - 1$

How to prove the exponent law with rational exponents by Induction

Proof of series with induction

Prove $(n!)/n^n \leq 1/2^{k}$, where $k$ is the floor of $n/2$.

Proof by induction failure if assumption is wrong?

Prove by induction that $7^n < n!$ for all integer $n \ge 21$

Prove (by induction?): If $A \subset \mathbb{N}$, $4 \in A$ and $n+1 \in A$ whenever $n \in A$, then $\left\{n \mid n \geq 4 \right\} \subset A$.

True or Flawed proof

Using induction to prove an equality in harmonic numbers

What method to use to find a hypothesis of the solution of the recurrence relation?

Proof by Induction that $16 \mid 5^n - 4n - 1$

Induction proof for a summation: $\sum_{i=1}^n i^3 = \left[\sum_{i=1}^n i\right]^2$

A Problem involving simple mathematical induction.

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