Question

Prove by induction: $\frac{2^{2n}}{n+1}<\frac{(2n)!}{(n!)^2},n>1$

score 122 · Answer 1 · 2026-04-15 13:39:45

122

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Prove by induction: $\frac{2^{2n}}{n+1}<\frac{(2n)!}{(n!)^2},n>1$

Published on 15 Apr 2026 - 13:39

score 187 · Answer 2 · 2026-04-13 14:38:16

187

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Induction Proof $n! < n^n$

Published on 13 Apr 2026 - 14:38

score 1k · Answer 3 · 2026-04-11 02:29:34

1k

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Differentiation- proof by Induction

Published on 11 Apr 2026 - 2:29

score 254 · Answer 4 · 2026-04-10 04:17:09

254

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Induction proof using mean value theorem

Published on 10 Apr 2026 - 4:17

score 354 · Answer 5 · 2026-04-13 17:18:09

354

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Prove by Induction that Norms in a Finite Dimensional Space are Equivalent?

Published on 13 Apr 2026 - 17:18

score 133 · Answer 6 · 2026-04-17 01:18:01

133

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Prove by induction: $2!\cdot 4!\cdot 6!\cdot\cdot\cdot (2n)!\ge ((n+1)!)^n$

Published on 17 Apr 2026 - 1:18

score 478 · Answer 7 · 2026-04-21 01:33:02

478

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Interpretation of 2 proofs involving limits at infinity and mathematical induction

Published on 21 Apr 2026 - 1:33

score 80 · Answer 8 · 2026-04-16 23:18:49

80

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Prove $\sum\limits_{i=1}^n \frac{1}{i(i+1)} = \frac{n}{n+1}$ by induction

Published on 16 Apr 2026 - 23:18

score 19.3k · Answer 9 · 2026-05-13 18:29:25

19.3k

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Induction proof dealing with geometric series

Published on 13 May 2026 - 18:29

score 1.6k · Answer 10 · 2026-04-02 21:27:13

1.6k

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Proving that the sum of fractions has an odd numerator and even denominator.

Published on 02 Apr 2026 - 21:27

score 174 · Answer 11 · 2026-04-07 18:10:17

174

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Proof by induction: $2(\sqrt n - 1) < \sum\limits_{i=1}^n \left(\frac{1}{\sqrt{i}}\right)$

Published on 07 Apr 2026 - 18:10

score 31 · Answer 12 · 2026-04-14 14:33:37

31

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Base case not the same for two equivalent forms of the statement

Published on 14 Apr 2026 - 14:33

score 6.4k · Answer 13 · 2026-04-13 17:57:14

6.4k

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Mathematical Induction Divisibility Problem

Published on 13 Apr 2026 - 17:57

score 55 · Answer 14 · 2026-04-11 09:49:06

55

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Clarify worked example on induction with inequality

Published on 11 Apr 2026 - 9:49

score 219 · Answer 15 · 2026-04-09 05:29:01

219

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Proof by induction using factorials

Published on 09 Apr 2026 - 5:29

List Question

Prove by induction: $\frac{2^{2n}}{n+1}<\frac{(2n)!}{(n!)^2},n>1$

Induction Proof $n! < n^n$

Differentiation- proof by Induction

Induction proof using mean value theorem

Prove by Induction that Norms in a Finite Dimensional Space are Equivalent?

Prove by induction: $2!\cdot 4!\cdot 6!\cdot\cdot\cdot (2n)!\ge ((n+1)!)^n$

Interpretation of 2 proofs involving limits at infinity and mathematical induction

Prove $\sum\limits_{i=1}^n \frac{1}{i(i+1)} = \frac{n}{n+1}$ by induction

Induction proof dealing with geometric series

Proving that the sum of fractions has an odd numerator and even denominator.

Proof by induction: $2(\sqrt n - 1) < \sum\limits_{i=1}^n \left(\frac{1}{\sqrt{i}}\right)$

Base case not the same for two equivalent forms of the statement

Mathematical Induction Divisibility Problem

Clarify worked example on induction with inequality

Proof by induction using factorials

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