Question

Mathematical induction to prove number of 1's in a string composed of 1's and 0's is a multiple of 3

score 748 · Answer 1 · 2026-03-26 12:38:31

748

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Mathematical induction to prove number of 1's in a string composed of 1's and 0's is a multiple of 3

Published on 26 Mar 2026 - 12:38

score 162 · Answer 2 · 2020-02-07 03:21:28

162

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Proof by induction:$\frac{3}{5}\cdot\frac{7}{9}\cdot\frac{11}{13}\cdots\frac{4n-1}{4n+1}<\sqrt{\frac{3}{4n+3}}$

Published on 07 Feb 2020 - 3:21

score 57 · Answer 3 · 2020-02-07 15:23:53

57

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How to prove by induction that the if the sum of n positive numbers is n than their product is smaller equal to 1?

Published on 07 Feb 2020 - 15:23

score 1.1k · Answer 4 · 2020-02-07 22:11:10

1.1k

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Mathematical Induction - Postage Stamp Problem

Published on 07 Feb 2020 - 22:11

score 174 · Answer 5 · 2020-02-09 01:41:16

174

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Strong Induction to prove final score of a division game

Published on 09 Feb 2020 - 1:41

score 55 · Answer 6 · 2026-03-25 09:48:36

55

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Recurrences - proof of induction

Published on 25 Mar 2026 - 9:48

score 103 · Answer 7 · 2026-03-28 20:55:56

103

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Proof of induction - find closed formula for recurrence

Published on 28 Mar 2026 - 20:55

score 111 · Answer 8 · 2026-03-26 12:53:35

111

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Prove $\prod\limits_{k=1}^N (1+0.8\cdot r_{k})-1\leq \left( \prod\limits_{k=1}^{N}(1+r_{k}) -1 \right)\cdot0.8$

Published on 26 Mar 2026 - 12:53

score 743 · Answer 9 · 2026-03-29 03:04:22

743

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Induction in the proof of the existence of prime factorizations

Published on 29 Mar 2026 - 3:04

score 80 · Answer 10 · 2026-03-28 20:51:23

80

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Induction and Fibonacci

Published on 28 Mar 2026 - 20:51

score 685 · Answer 11 · 2026-04-07 16:06:30

685

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Prove, by induction, that $\varphi^{n+1} = \varphi \cdot F_{n+1} + F_n$ for all natural numbers $n$.

Published on 07 Apr 2026 - 16:06

score 63 · Answer 12 · 2020-02-13 01:42:33

63

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Proving a seemingly simple inequality using induction.

Published on 13 Feb 2020 - 1:42

score 199 · Answer 13 · 2020-02-13 11:17:01

199

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Prove by induction that $21^n-21$ is divisible by $5$ for all natural numbers.

Published on 13 Feb 2020 - 11:17

score 45 · Answer 14 · 2020-02-13 13:51:05

45

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What is the $n$-th sequence for the following expression?

Published on 13 Feb 2020 - 13:51

score 78 · Answer 15 · 2020-02-14 14:13:21

78

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Show that $\frac{1}{3}+\frac{8}{7}+\cdots +\frac{n^3}{n^2+n+1}<\frac{n(3n+5)}{6}$

Published on 14 Feb 2020 - 14:13

List Question

Mathematical induction to prove number of 1's in a string composed of 1's and 0's is a multiple of 3

Proof by induction:$\frac{3}{5}\cdot\frac{7}{9}\cdot\frac{11}{13}\cdots\frac{4n-1}{4n+1}<\sqrt{\frac{3}{4n+3}}$

How to prove by induction that the if the sum of n positive numbers is n than their product is smaller equal to 1?

Mathematical Induction - Postage Stamp Problem

Strong Induction to prove final score of a division game

Recurrences - proof of induction

Proof of induction - find closed formula for recurrence

Prove $\prod\limits_{k=1}^N (1+0.8\cdot r_{k})-1\leq \left( \prod\limits_{k=1}^{N}(1+r_{k}) -1 \right)\cdot0.8$

Induction in the proof of the existence of prime factorizations

Induction and Fibonacci

Prove, by induction, that $\varphi^{n+1} = \varphi \cdot F_{n+1} + F_n$ for all natural numbers $n$.

Proving a seemingly simple inequality using induction.

Prove by induction that $21^n-21$ is divisible by $5$ for all natural numbers.

What is the $n$-th sequence for the following expression?

Show that $\frac{1}{3}+\frac{8}{7}+\cdots +\frac{n^3}{n^2+n+1}<\frac{n(3n+5)}{6}$

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