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Prove by the method of finite induction

score 124 · Answer 1 · 2026-04-13 11:46:18

124

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Prove by the method of finite induction

Published on 13 Apr 2026 - 11:46

score 4.7k · Answer 2 · 2026-04-16 05:44:51

4.7k

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Prove using finite induction that $4^n > n^4$ for all $n > 4$?

Published on 16 Apr 2026 - 5:44

score 81 · Answer 3 · 2026-04-15 09:58:45

81

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Alternative proof of $a+\frac{1}{a}\geq2$

Published on 15 Apr 2026 - 9:58

score 50 · Answer 4 · 2026-04-11 15:56:43

50

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Need help check the proof for n^5 - n is divisible by 30, prove by method of induction

Published on 11 Apr 2026 - 15:56

score 2.5k · Answer 5 · 2026-04-12 01:46:52

2.5k

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Prove by induction that $7^{2n}-48n-1$ is divisible by 2304

Published on 12 Apr 2026 - 1:46

score 75 · Answer 6 · 2026-04-16 16:01:47

75

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Inductive proof of $1^2-2^2+3^2-\dots+(-1)^{n-1}n^2=\frac{(-1)^{n-1}n(n+1)}2$

Published on 16 Apr 2026 - 16:01

score 2.2k · Answer 7 · 2026-04-12 00:31:41

2.2k

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Discrete Math, Strong induction. choosing between showing 'k' or k+1'

Published on 12 Apr 2026 - 0:31

score 1.9k · Answer 8 · 2026-04-16 15:03:34

1.9k

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Do all non-empty sets of natural numbers contain a smallest number?

Published on 16 Apr 2026 - 15:03

score 1k · Answer 9 · 2026-04-16 12:52:30

1k

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How to show $\sum^{n}_{k=0}{a_kb_k=A_nb_{n+1}+\sum^{n}_{k=1}{A_k(b_k-b_{k+1})}}$ by induction?

Published on 16 Apr 2026 - 12:52

score 27 · Answer 10 · 2026-04-11 03:01:41

27

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List of usefull calculation rules when performing an induction proof.

Published on 11 Apr 2026 - 3:01

score 121 · Answer 11 · 2026-04-12 00:04:04

121

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Prove by method of finite induction for n belongs to Natural Numbers

Published on 12 Apr 2026 - 0:04

score 81 · Answer 12 · 2026-04-17 09:01:48

81

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Prove, by using induction, $\frac{0^2+1^2+2^2+...+n^2}{n^2+n^2+n^2+...+n^2} = \frac{1}{3} + \frac{1}{6n}$

Published on 17 Apr 2026 - 9:01

score 76 · Answer 13 · 2026-04-15 03:52:38

76

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Show that $5\cdot10^n+10^{n-1}+3$ is divisible by 9

Published on 15 Apr 2026 - 3:52

score 2k · Answer 14 · 2026-04-14 12:08:40

2k

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Prove that $13^n -4^n$ is divisible by $9$ for every integer $\geq $

Published on 14 Apr 2026 - 12:08

score 46 · Answer 15 · 2026-04-12 18:16:13

46

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Mathematical induction proof

Published on 12 Apr 2026 - 18:16

List Question

Prove by the method of finite induction

Prove using finite induction that $4^n > n^4$ for all $n > 4$?

Alternative proof of $a+\frac{1}{a}\geq2$

Need help check the proof for n^5 - n is divisible by 30, prove by method of induction

Prove by induction that $7^{2n}-48n-1$ is divisible by 2304

Inductive proof of $1^2-2^2+3^2-\dots+(-1)^{n-1}n^2=\frac{(-1)^{n-1}n(n+1)}2$

Discrete Math, Strong induction. choosing between showing 'k' or k+1'

Do all non-empty sets of natural numbers contain a smallest number?

How to show $\sum^{n}_{k=0}{a_kb_k=A_nb_{n+1}+\sum^{n}_{k=1}{A_k(b_k-b_{k+1})}}$ by induction?

List of usefull calculation rules when performing an induction proof.

Prove by method of finite induction for n belongs to Natural Numbers

Prove, by using induction, $\frac{0^2+1^2+2^2+...+n^2}{n^2+n^2+n^2+...+n^2} = \frac{1}{3} + \frac{1}{6n}$

Show that $5\cdot10^n+10^{n-1}+3$ is divisible by 9

Prove that $13^n -4^n$ is divisible by $9$ for every integer $\geq $

Mathematical induction proof

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