Question

How would I prove ${n^{2n} \gt (2n)!}$ using mathematical induction?

score 103 · Answer 1 · 2026-03-26 04:16:11

103

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How would I prove ${n^{2n} \gt (2n)!}$ using mathematical induction?

Published on 26 Mar 2026 - 4:16

score 35 · Answer 2 · 2018-11-17 17:59:23

35

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finding general law given a few statements

Published on 17 Nov 2018 - 17:59

score 47 · Answer 3 · 2018-11-17 19:37:36

47

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proof by induction question with summation

Published on 17 Nov 2018 - 19:37

score 53 · Answer 4 · 2018-11-18 00:49:41

53

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Induction definition

Published on 18 Nov 2018 - 0:49

score 28 · Answer 5 · 2018-11-18 10:49:28

28

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Are we allowed, by the definition of induction, to assume that $f_{1}(x)$ still has the same formula, even though we switched $n$?

Published on 18 Nov 2018 - 10:49

score 98 · Answer 6 · 2026-03-26 06:34:19

98

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Doubt in proof of AM GM inequality by induction Method

Published on 26 Mar 2026 - 6:34

score 30 · Answer 7 · 2018-11-18 17:08:08

30

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Induction help ($a_n \lt 2^n$)

Published on 18 Nov 2018 - 17:08

score 89 · Answer 8 · 2026-03-25 20:12:44

Prove that $\sum_{{a_{n-1}}=1}^{a_n}\,\sum_{a_{n-2}=1}^{a_{n-1}}\,\ldots\,\sum_{a_{1}=1}^{a_2}\,a_1=\frac{\prod\limits_{i=0}^{n-1}\,(a_n+i)}{n!}$.

score 88 · Answer 9 · 2026-03-25 19:03:14

88

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Prove using induction that $n^6 < 3^n$,for all $n > 18$

Published on 25 Mar 2026 - 19:03

score 528 · Answer 10 · 2018-11-19 19:13:33

528

Views

Prove that for every disconnected graph $G = (V, E)$ it holds $|E| \leq \frac{1}{2} (|V | − 1)(|V | − 2)$.

Published on 19 Nov 2018 - 19:13

score 297 · Answer 11 · 2026-03-26 09:48:22

297

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Inequality regarding sum of squared probabilities

Published on 26 Mar 2026 - 9:48

score 158 · Answer 12 · 2018-11-21 18:13:49

158

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Strong induction confusion

Published on 21 Nov 2018 - 18:13

score 22 · Answer 13 · 2018-11-21 21:06:15

22

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Question about the proof of the Recursiontheorem

Published on 21 Nov 2018 - 21:06

score 56 · Answer 14 · 2018-11-22 16:11:27

56

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Prove by induction binary base

Published on 22 Nov 2018 - 16:11

score 33 · Answer 15 · 2018-11-22 21:22:05

33

Views

Induction equation proof

Published on 22 Nov 2018 - 21:22

List Question

How would I prove ${n^{2n} \gt (2n)!}$ using mathematical induction?

finding general law given a few statements

proof by induction question with summation

Induction definition

Are we allowed, by the definition of induction, to assume that $f_{1}(x)$ still has the same formula, even though we switched $n$?

Doubt in proof of AM GM inequality by induction Method

Induction help ($a_n \lt 2^n$)

Prove that $\sum_{{a_{n-1}}=1}^{a_n}\,\sum_{a_{n-2}=1}^{a_{n-1}}\,\ldots\,\sum_{a_{1}=1}^{a_2}\,a_1=\frac{\prod\limits_{i=0}^{n-1}\,(a_n+i)}{n!}$.

Prove using induction that $n^6 < 3^n$,for all $n > 18$

Prove that for every disconnected graph $G = (V, E)$ it holds $|E| \leq \frac{1}{2} (|V | − 1)(|V | − 2)$.

Inequality regarding sum of squared probabilities

Strong induction confusion

Question about the proof of the Recursiontheorem

Prove by induction binary base

Induction equation proof

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