List questions from induction

Published on 11 Apr 2026 - 12:33

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Prove $\sum_{k=1}^n \frac{1}{(2k-1)(2k+1)}=\frac{n}{2n+1}$

Published on 11 Apr 2026 - 2:30

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Proof that combinations are equal to coefficients in the binomial expansion

Published on 12 Apr 2026 - 14:14

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How to generalize the principle of mathematical induction for proving statements about more than one natural number?

Published on 11 Apr 2026 - 3:41

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Proof that $3^n | 2^{3^n} + 1$

Published on 15 Apr 2026 - 18:52

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Prove that if $n|5^n + 8^n$, then $13|n$ using induction

Published on 16 Apr 2026 - 12:14

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Proving an upper bound on the terms of a sequence defined defined by a recurrence relation

Published on 14 Apr 2026 - 18:20

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Prove using induction on n that: $8\mid5^n+2(3^{n-1})+1$

Published on 16 Apr 2026 - 1:29

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Prove $n^2 \geq n$ for every integer

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Formula for sum of first $n$ odd integers

Published on 16 Apr 2026 - 12:24

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Show that an inequality is true using mathematical induction and the mean value theorem

Published on 13 Apr 2026 - 2:47

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Overspill in computable nonstandard models

Published on 10 May 2026 - 20:58

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Prove $\forall n \geq 10, 2^n > n^3$

Published on 16 Apr 2026 - 20:47

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Need hint on induction proof for summation

Published on 13 Apr 2026 - 18:47

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Proving by induction that $\sum\limits_{i=1}^n\frac{1}{n+i}=\sum\limits_{i=1}^n\left(\frac1{2i-1}-\frac1{2i}\right)$

Published on 17 Apr 2026 - 6:19

List Question

Proof by induction (binomial theorem)

Prove $\sum_{k=1}^n \frac{1}{(2k-1)(2k+1)}=\frac{n}{2n+1}$

Proof that combinations are equal to coefficients in the binomial expansion

How to generalize the principle of mathematical induction for proving statements about more than one natural number?

Proof that $3^n | 2^{3^n} + 1$

Prove that if $n|5^n + 8^n$, then $13|n$ using induction

Proving an upper bound on the terms of a sequence defined defined by a recurrence relation

Prove using induction on n that: $8\mid5^n+2(3^{n-1})+1$

Prove $n^2 \geq n$ for every integer

Formula for sum of first $n$ odd integers

Show that an inequality is true using mathematical induction and the mean value theorem

Overspill in computable nonstandard models

Prove $\forall n \geq 10, 2^n > n^3$

Need hint on induction proof for summation

Proving by induction that $\sum\limits_{i=1}^n\frac{1}{n+i}=\sum\limits_{i=1}^n\left(\frac1{2i-1}-\frac1{2i}\right)$

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