Question

Proving an inequality for the Lucas sequence using Strong Induction

score 31 · Answer 1 · 2026-04-12 18:55:18

31

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Proving an inequality for the Lucas sequence using Strong Induction

Published on 12 Apr 2026 - 18:55

score 85 · Answer 2 · 2026-04-14 22:50:16

85

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For all natural numbers of $n$, prove by induction that $15 \mid (4^{2n+1} + 5^{2n+1} + 6^{2n+1})$.

Published on 14 Apr 2026 - 22:50

score 122 · Answer 3 · 2026-04-16 05:33:03

122

Views

Prove that $100n \leq 2^n$, for every integer $n \geq 10$

Published on 16 Apr 2026 - 5:33

score 42 · Answer 4 · 2026-04-09 12:44:16

42

Views

How to correctly use Induction to prove a problem regarding sequences

Published on 09 Apr 2026 - 12:44

score 60 · Answer 5 · 2026-04-13 17:15:30

60

Views

Inequality between Cauchy-Schwarz-like quotients

Published on 13 Apr 2026 - 17:15

score 48 · Answer 6 · 2026-04-16 20:12:02

48

Views

Trouble with the inductive proof $1 + \frac{1}{4} + \frac{1}{9} + ... + \frac{1}{n^2} < 2 - \frac{1}{n}$ for all n > 1

Published on 16 Apr 2026 - 20:12

score 142 · Answer 7 · 2026-04-14 15:57:23

142

Views

Simple induction. Do I have to use it three times for each value?

Published on 14 Apr 2026 - 15:57

score 50 · Answer 8 · 2026-04-23 01:11:08

50

Views

Property about the alternating Pascal triangle

Published on 23 Apr 2026 - 1:11

score 56 · Answer 9 · 2026-04-12 16:11:18

56

Views

Relation between Axiom of Foundation and $\in$-induction

Published on 12 Apr 2026 - 16:11

score 47 · Answer 10 · 2026-04-14 04:01:00

47

Views

proving properties of $\Bbb N$ after constructing it as a subset of $\Bbb R$

Published on 14 Apr 2026 - 4:01

score 37 · Answer 11 · 2026-04-12 17:36:01

37

Views

Prob. 20, Sec. 2.2, in Leon's Linear Algebra Book: Numbers of additions and multiplications in calculation of the determinant

Published on 12 Apr 2026 - 17:36

score 78 · Answer 12 · 2026-04-13 14:26:01

78

Views

How to show for infinity after showing it's true for $n$ by induction

Published on 13 Apr 2026 - 14:26

score 74 · Answer 13 · 2026-04-12 04:42:29

74

Views

Explanation of a Solution to a Mathematical Induction problem.

Published on 12 Apr 2026 - 4:42

score 91 · Answer 14 · 2026-04-14 07:48:54

91

Views

Prove by Induction $19^{n}-4^{2n}$ is divisible by 3

Published on 14 Apr 2026 - 7:48

score 98 · Answer 15 · 2026-04-16 07:03:44

98

Views

Prove by induction that for a graph $G=(V, E)$, if it doesn't contain a cycle, then $|E|\leq|V|-1$.

Published on 16 Apr 2026 - 7:03

List Question

Proving an inequality for the Lucas sequence using Strong Induction

For all natural numbers of $n$, prove by induction that $15 \mid (4^{2n+1} + 5^{2n+1} + 6^{2n+1})$.

Prove that $100n \leq 2^n$, for every integer $n \geq 10$

How to correctly use Induction to prove a problem regarding sequences

Inequality between Cauchy-Schwarz-like quotients

Trouble with the inductive proof $1 + \frac{1}{4} + \frac{1}{9} + ... + \frac{1}{n^2} < 2 - \frac{1}{n}$ for all n > 1

Simple induction. Do I have to use it three times for each value?

Property about the alternating Pascal triangle

Relation between Axiom of Foundation and $\in$-induction

proving properties of $\Bbb N$ after constructing it as a subset of $\Bbb R$

Prob. 20, Sec. 2.2, in Leon's Linear Algebra Book: Numbers of additions and multiplications in calculation of the determinant

How to show for infinity after showing it's true for $n$ by induction

Explanation of a Solution to a Mathematical Induction problem.

Prove by Induction $19^{n}-4^{2n}$ is divisible by 3

Prove by induction that for a graph $G=(V, E)$, if it doesn't contain a cycle, then $|E|\leq|V|-1$.

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