Question

Proof of an identity with a nested summation

score 94 · Answer 1 · 2026-04-12 06:44:30

94

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Proof of an identity with a nested summation

Published on 12 Apr 2026 - 6:44

score 111 · Answer 2 · 2026-04-15 02:33:29

111

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Prove by induction: $\sum_{k=n+1}^{2n}(2k - 1) = 3n^2$

Published on 15 Apr 2026 - 2:33

score 30 · Answer 3 · 2026-03-25 10:56:04

30

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Mathematical induction and completness of metric space

Published on 25 Mar 2026 - 10:56

score 54 · Answer 4 · 2026-04-25 04:04:22

54

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Is it necessary to show for 2 cases as basis in this proof by induction question?

Published on 25 Apr 2026 - 4:04

score 295 · Answer 5 · 2026-04-16 19:15:29

295

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Some help needed with this induction proof

Published on 16 Apr 2026 - 19:15

score 133 · Answer 6 · 2026-04-15 09:26:05

133

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For a natural number k prove that 2(kᵏ) < (k+1)ᵏ

Published on 15 Apr 2026 - 9:26

score 327 · Answer 7 · 2026-04-12 15:04:15

327

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Pólya's urn - Probability first ball is blue given subsequent draws

Published on 12 Apr 2026 - 15:04

score 57 · Answer 8 · 2026-04-10 17:28:10

57

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Polya's urn scheme - Proof by induction

Published on 10 Apr 2026 - 17:28

score 114 · Answer 9 · 2026-04-16 19:34:37

114

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If $x_1 + x_2 + \ldots + x_n \leq \frac{1}{3}$, then $ (1 - x_1) (1 - x_2) \cdots (1 - x_n) \geq \frac{2}{3}$.

Published on 16 Apr 2026 - 19:34

score 91 · Answer 10 · 2026-04-12 11:47:22

91

Views

Prove the inequality with mathematical induction

Published on 12 Apr 2026 - 11:47

score 29 · Answer 11 · 2026-04-16 01:19:13

29

Views

Induction argument to show that $x-\lambda$ and $x-\bar{\lambda}$ appear the same number of times in the factorization of $p\in P(\mathbb{R})$?

Published on 16 Apr 2026 - 1:19

score 53 · Answer 12 · 2026-04-14 01:28:45

53

Views

Prove the logical equivalence of two formulas which use $\bigwedge$

Published on 14 Apr 2026 - 1:28

score 76 · Answer 13 · 2026-04-17 05:13:19

76

Views

Bounding above $a_{n+1}=\sqrt{16+|a_n|},\ a_0=4$

Published on 17 Apr 2026 - 5:13

score 48 · Answer 14 · 2026-04-15 08:32:51

48

Views

Prove limit property by induction

Published on 15 Apr 2026 - 8:32

score 440 · Answer 15 · 2026-04-11 06:41:03

Can an inductive proof with a fixed parameter assume the hypothesis proved for a different value of that parameter?

List Question

Proof of an identity with a nested summation

Prove by induction: $\sum_{k=n+1}^{2n}(2k - 1) = 3n^2$

Mathematical induction and completness of metric space

Is it necessary to show for 2 cases as basis in this proof by induction question?

Some help needed with this induction proof

For a natural number k prove that 2(kᵏ) < (k+1)ᵏ

Pólya's urn - Probability first ball is blue given subsequent draws

Polya's urn scheme - Proof by induction

If $x_1 + x_2 + \ldots + x_n \leq \frac{1}{3}$, then $ (1 - x_1) (1 - x_2) \cdots (1 - x_n) \geq \frac{2}{3}$.

Prove the inequality with mathematical induction

Induction argument to show that $x-\lambda$ and $x-\bar{\lambda}$ appear the same number of times in the factorization of $p\in P(\mathbb{R})$?

Prove the logical equivalence of two formulas which use $\bigwedge$

Bounding above $a_{n+1}=\sqrt{16+|a_n|},\ a_0=4$

Prove limit property by induction

Can an inductive proof with a fixed parameter assume the hypothesis proved for a different value of that parameter?

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