Question

Mathematical Induction divisibility $8\mid 3^{2n}-1$

score 442 · Answer 1 · 2026-04-01 16:06:01

442

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Mathematical Induction divisibility $8\mid 3^{2n}-1$

Published on 01 Apr 2026 - 16:06

score 774 · Answer 2 · 2014-11-10 02:41:48

774

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Show that any connected graph $G$ satisfies $\lvert E(G)\rvert \geq \lvert V(G)\rvert -1 $

Published on 10 Nov 2014 - 2:41

score 141 · Answer 3 · 2014-11-10 11:45:24

141

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Prove by induction on a sequence

Published on 10 Nov 2014 - 11:45

score 70 · Answer 4 · 2014-11-10 12:59:20

70

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Prove inequality holds

Published on 10 Nov 2014 - 12:59

score 89 · Answer 5 · 2026-03-30 00:21:10

89

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Alternative proof for $\forall n\in\mathbb N (n\ge 6 \Rightarrow \exists a,b\in\mathbb N : n=3a+4b)$

Published on 30 Mar 2026 - 0:21

score 736 · Answer 6 · 2014-11-10 14:55:31

736

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Proof by induction that x_n < 2^n

Published on 10 Nov 2014 - 14:55

score 618 · Answer 7 · 2014-11-10 17:32:00

618

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mathematical induction, prove the expression with summation

Published on 10 Nov 2014 - 17:32

score 132 · Answer 8 · 2026-04-05 05:22:38

132

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Another quick induction question for a recursively defined sequence (with closed form formula given)

Published on 05 Apr 2026 - 5:22

score 714 · Answer 9 · 2014-11-10 22:09:51

714

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Mathematical Induction Proof - Exponent with n in denominator

Published on 10 Nov 2014 - 22:09

score 222 · Answer 10 · 2014-11-11 02:07:52

222

Views

How to show $a_n = \frac{n+1}{n-1}$ is strictly decreasing by induction?

Published on 11 Nov 2014 - 2:07

score 24.4k · Answer 11 · 2014-11-11 08:44:40

24.4k

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Prove by induction the predicate (All n, n >= 1, any tree with n vertices has (n-1) edges).

Published on 11 Nov 2014 - 8:44

score 708 · Answer 12 · 2026-04-01 16:04:02

708

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Weak Mathematical Induction for Modulo Arithmetic $8\mid 3^{2n}-1$

Published on 01 Apr 2026 - 16:04

score 132 · Answer 13 · 2014-11-12 14:52:20

132

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a_1,a_2,a_3…..a_n of natural numbers different then 0.

Published on 12 Nov 2014 - 14:52

score 720 · Answer 14 · 2014-11-13 13:14:56

720

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Prove that any amount of money of at least 14c can be made up using 3c and 8c coins

Published on 13 Nov 2014 - 13:14

score 122 · Answer 15 · 2014-11-13 19:15:39

122

Views

Prove that $2^n\geq2n-1$

Published on 13 Nov 2014 - 19:15

List Question

Mathematical Induction divisibility $8\mid 3^{2n}-1$

Show that any connected graph $G$ satisfies $\lvert E(G)\rvert \geq \lvert V(G)\rvert -1 $

Prove by induction on a sequence

Prove inequality holds

Alternative proof for $\forall n\in\mathbb N (n\ge 6 \Rightarrow \exists a,b\in\mathbb N : n=3a+4b)$

Proof by induction that x_n < 2^n

mathematical induction, prove the expression with summation

Another quick induction question for a recursively defined sequence (with closed form formula given)

Mathematical Induction Proof - Exponent with n in denominator

How to show $a_n = \frac{n+1}{n-1}$ is strictly decreasing by induction?

Prove by induction the predicate (All n, n >= 1, any tree with n vertices has (n-1) edges).

Weak Mathematical Induction for Modulo Arithmetic $8\mid 3^{2n}-1$

a_1,a_2,a_3…..a_n of natural numbers different then 0.

Prove that any amount of money of at least 14c can be made up using 3c and 8c coins

Prove that $2^n\geq2n-1$

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