List questions from induction

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Prove the limit using mathematical induction and L'Hospital's rule.

Published on 14 Apr 2026 - 7:57

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Proof by inducation $4n < 2^n$ for $n \geq 5$.

Published on 15 Apr 2026 - 11:27

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Prove: $\forall$ $n\in \mathbb N, (2^n)!$ is divisible by $2^{(2^n)-1}$ and is not divisible by $2^{2^n}$

Published on 04 Apr 2026 - 10:17

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Now am I doing induction correctly?

Published on 05 May 2026 - 10:13

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Is my inductive proof correct?

Published on 05 May 2026 - 10:13

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Proving inequality with induction

Published on 11 Apr 2026 - 17:41

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Problem with induction of binomial coefficiency

Published on 10 Jan 2016 - 10:18

55

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$\sum_{k=1}^{n}k(k-\frac{1}{3}) = \frac{n}{6}(an^2+bn+c)$ by induction

Published on 15 Apr 2026 - 23:17

441

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Show that $\sin(\frac{x}{2})(\sin(x)+\sin(2x)+...+\sin(nx))=\sin(\frac{nx}{2})\sin(\frac{n+1}{2}x)$

Published on 16 Apr 2026 - 4:14

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Prove by induction that $8^{n} − 1$ is divisible by $7$

Published on 12 Apr 2026 - 3:12

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General Chinese remainder theorem proof

Published on 30 Mar 2026 - 12:21

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Setting up a Problem for Induction that Involves Inequality and a Function

Published on 10 Apr 2026 - 16:22

71

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Induction with $n+2$

Published on 11 Apr 2026 - 1:12

155

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Prove that $6^{n+1} + 4$ is divisible by 4

Published on 15 Apr 2026 - 5:23

List Question

Conjecture for the maximum number of rooms.

Prove the limit using mathematical induction and L'Hospital's rule.

Proof by inducation $4n < 2^n$ for $n \geq 5$.

Prove: $\forall$ $n\in \mathbb N, (2^n)!$ is divisible by $2^{(2^n)-1}$ and is not divisible by $2^{2^n}$

Now am I doing induction correctly?

Is my inductive proof correct?

Proving inequality with induction

Problem with induction of binomial coefficiency

$\sum_{k=1}^{n}k(k-\frac{1}{3}) = \frac{n}{6}(an^2+bn+c)$ by induction

Show that $\sin(\frac{x}{2})(\sin(x)+\sin(2x)+...+\sin(nx))=\sin(\frac{nx}{2})\sin(\frac{n+1}{2}x)$

Prove by induction that $8^{n} − 1$ is divisible by $7$

General Chinese remainder theorem proof

Setting up a Problem for Induction that Involves Inequality and a Function

Induction with $n+2$

Prove that $6^{n+1} + 4$ is divisible by 4

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