List questions from induction

Published on 15 Apr 2026 - 18:20

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How can I prove that $(n^2+11n)/6$ has no remainder?

Published on 13 Apr 2026 - 9:09

533

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How to prove that $3^{3n+2}+2^{4n+1}$ is a multiple of 11

Published on 11 Apr 2026 - 20:01

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Proof by Induction Help: Prove that there are unique integers $a\geq 0$ and $k>0$ such that $n=(3^a)\cdot k$ and $k$ is not divisible by $3$.

Published on 13 Apr 2026 - 11:42

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How to prove that the determinant of this matrix is n! (by induction)

Published on 15 Apr 2026 - 7:03

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A problem with a determinant

Published on 13 Apr 2026 - 1:54

67

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Strong induction proof that all $n\geq 1$ counts that$\sum_{i=1}^n \frac{1}{4k^2-1} = \frac{n}{2n+1}$

Published on 16 Apr 2026 - 9:52

106

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Proof by induction $D^n(x^n)=n!$

Published on 14 Apr 2026 - 18:59

197

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Logic: Using mathematical induction to prove a conditional statement

Published on 12 Apr 2026 - 9:24

257

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Induction question about triangle pattern

Published on 10 Apr 2026 - 17:43

52

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How can I solve this proof using induction?

Published on 12 Apr 2026 - 4:09

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Mathematical induction $3$ and $5$ cent coins

Published on 16 Apr 2026 - 15:32

924

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Induction on a piecewise defined function

Published on 11 Apr 2026 - 2:37

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Is my solution for proving $3^n > n^2$ using induction correct?

Published on 13 Apr 2026 - 5:13

103

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Induction Question Summation and Inequality

Published on 11 Apr 2026 - 19:13

List Question

Guess the number of red balls.

How can I prove that $(n^2+11n)/6$ has no remainder?

How to prove that $3^{3n+2}+2^{4n+1}$ is a multiple of 11

Proof by Induction Help: Prove that there are unique integers $a\geq 0$ and $k>0$ such that $n=(3^a)\cdot k$ and $k$ is not divisible by $3$.

How to prove that the determinant of this matrix is n! (by induction)

A problem with a determinant

Strong induction proof that all $n\geq 1$ counts that$\sum_{i=1}^n \frac{1}{4k^2-1} = \frac{n}{2n+1}$

Proof by induction $D^n(x^n)=n!$

Logic: Using mathematical induction to prove a conditional statement

Induction question about triangle pattern

How can I solve this proof using induction?

Mathematical induction $3$ and $5$ cent coins

Induction on a piecewise defined function

Is my solution for proving $3^n > n^2$ using induction correct?

Induction Question Summation and Inequality

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