Question

Induction: How to prove that $ab^n+cn+d$ is divisible by $m$.

score 221 · Answer 1 · 2018-10-16 22:25:56

221

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Induction: How to prove that $ab^n+cn+d$ is divisible by $m$.

Published on 16 Oct 2018 - 22:25

score 318 · Answer 2 · 2018-10-17 06:40:29

318

Views

Induction: Prove all numbers in the range $(0, n)$ can be generated

Published on 17 Oct 2018 - 6:40

score 259 · Answer 3 · 2018-10-17 16:38:54

259

Views

Prove by induction $n! > n^2$ for $n \geq 4$

Published on 17 Oct 2018 - 16:38

score 1.2k · Answer 4 · 2018-10-17 20:58:07

1.2k

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Prove $ \frac{d^n}{dx^n}\ln(x)=\frac{(n-1)!(-1)^{n-1}}{x^n} $ by induction

Published on 17 Oct 2018 - 20:58

score 57 · Answer 5 · 2018-10-18 02:07:15

57

Views

Help proving inequality by induction with recurrent sequence?

Published on 18 Oct 2018 - 2:07

score 126 · Answer 6 · 2018-10-18 07:28:10

126

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Show that $n^n>(n+1)!$ for all $n\ge3$

Published on 18 Oct 2018 - 7:28

score 82 · Answer 7 · 2018-10-18 14:41:11

82

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use induction to prove that $\sum_{k=1}^{n} k(k + 1) = \frac{n(n + 1)(n + 2)}{3}$ for all $n ∈ N$.

Published on 18 Oct 2018 - 14:41

score 334 · Answer 8 · 2018-10-18 20:05:11

334

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How to prove the following inequality $\sqrt n {2n\choose n}<2^{2n-\frac{1}{2}} \,n\in \mathbb{N}$?

Published on 18 Oct 2018 - 20:05

score 35 · Answer 9 · 2018-10-19 00:20:07

35

Views

Is this induction proof mathematically correct?

Published on 19 Oct 2018 - 0:20

score 100 · Answer 10 · 2018-10-19 06:42:15

100

Views

Induction proof: $\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} +...+\frac{n}{2^n}$ $<2$

Published on 19 Oct 2018 - 6:42

score 3k · Answer 11 · 2026-03-25 17:19:15

3k

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How do I prove that $\sqrt 5 + \sqrt 7$ irrational?

Published on 25 Mar 2026 - 17:19

score 56 · Answer 12 · 2018-10-19 16:57:53

56

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Induction: How to prove each number can be written as sum of natural numbers such that sum of inverses of these numbers will be 1.

Published on 19 Oct 2018 - 16:57

score 57 · Answer 13 · 2018-10-20 08:19:32

57

Views

To prove $\tan \phi_m + \sec \phi_m =(\tan \phi_1 + \sec \phi_1)^m $

Published on 20 Oct 2018 - 8:19

score 48 · Answer 14 · 2026-03-25 19:00:02

48

Views

Induction on Fibonacci numbers

Published on 25 Mar 2026 - 19:00

score 89 · Answer 15 · 2026-03-26 23:59:53

89

Views

Proving a binomial coefficient inequality per induction

Published on 26 Mar 2026 - 23:59

List Question

Induction: How to prove that $ab^n+cn+d$ is divisible by $m$.

Induction: Prove all numbers in the range $(0, n)$ can be generated

Prove by induction $n! > n^2$ for $n \geq 4$

Prove $ \frac{d^n}{dx^n}\ln(x)=\frac{(n-1)!(-1)^{n-1}}{x^n} $ by induction

Help proving inequality by induction with recurrent sequence?

Show that $n^n>(n+1)!$ for all $n\ge3$

use induction to prove that $\sum_{k=1}^{n} k(k + 1) = \frac{n(n + 1)(n + 2)}{3}$ for all $n ∈ N$.

How to prove the following inequality $\sqrt n {2n\choose n}<2^{2n-\frac{1}{2}} \,n\in \mathbb{N}$?

Is this induction proof mathematically correct?

Induction proof: $\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} +...+\frac{n}{2^n}$ $<2$

How do I prove that $\sqrt 5 + \sqrt 7$ irrational?

Induction: How to prove each number can be written as sum of natural numbers such that sum of inverses of these numbers will be 1.

To prove $\tan \phi_m + \sec \phi_m =(\tan \phi_1 + \sec \phi_1)^m $

Induction on Fibonacci numbers

Proving a binomial coefficient inequality per induction

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