Question

How would I prove that if 11n-5 is odd, then n is an even number using only a direct proof?

score 479 · Answer 1 · 2026-04-14 22:23:02

479

Views

How would I prove that if 11n-5 is odd, then n is an even number using only a direct proof?

Published on 14 Apr 2026 - 22:23

score 178 · Answer 2 · 2026-04-13 17:10:16

178

Views

Estimations of some new recurrence sequences

Published on 13 Apr 2026 - 17:10

score 72 · Answer 3 · 2026-04-11 12:43:35

72

Views

Question about smooth functions and their signs with given initial conditions

Published on 11 Apr 2026 - 12:43

score 77 · Answer 4 · 2026-04-13 22:35:57

77

Views

Gamma function identity proof

Published on 13 Apr 2026 - 22:35

score 82 · Answer 5 · 2026-04-15 19:47:34

82

Views

A simpler way to prove that $\frac 32-x-\frac{1}{x+1}$ is negative for $x\geq1$, instead of computing derivative?

Published on 15 Apr 2026 - 19:47

score 127 · Answer 6 · 2026-04-17 02:57:11

127

Views

Find the $\mathcal{o}\left(n\right)$ so that $a_n\sim\frac{\mathcal{o}\left(n\right)}{n}+\mathcal{O}\left(\frac{1}{n}\right){\rm as}\lim a_n=\infty$

Published on 17 Apr 2026 - 2:57

score 144 · Answer 7 · 2026-04-16 15:19:48

144

Views

Given a recursion $a_{n+ 1}= \sqrt{na_{n}+ 2n+ 1}$ with $a_{1}\geq 1.$ Prove that $a_{n}\sim n\,{\rm as}\,n\rightarrow\infty$

Published on 16 Apr 2026 - 15:19

score 374 · Answer 8 · 2026-04-15 04:18:56

374

Views

Basic proof that Isogeny = group homomorphism without Riemann Roch?

Published on 15 Apr 2026 - 4:18

score 197 · Answer 9 · 2026-04-16 10:51:25

197

Views

Find the $\mathcal{O}\left(\frac{1}{n}\right)$ so that $a_n-1=\mathcal{O}\left(\frac{1}{n}\right)\,{\rm as}\,n\rightarrow\infty$

Published on 16 Apr 2026 - 10:51

score 80 · Answer 10 · 2026-04-10 22:26:09

80

Views

Volume and orientation application -Calculus of manifolds

Published on 10 Apr 2026 - 22:26

score 65 · Answer 11 · 2026-04-15 16:20:18

65

Views

Alternative proof for $1+2w+3w^2+\ldots+nw^{n-1}= \frac{n}{w-1}$

Published on 15 Apr 2026 - 16:20

score 69 · Answer 12 · 2026-04-16 07:53:35

69

Views

Given a recursion $a_{n+1}=\frac{a_n^2+1}{2}$ with $a_1=\frac12.$ Prove that $1-a_n\sim\frac2n-\frac{2\ln n}{n^2}\,{\rm as}\,n\rightarrow\infty$

Published on 16 Apr 2026 - 7:53

score 63 · Answer 13 · 2026-04-15 16:45:45

63

Views

Convex set also has convex closure (alternative proof)

Published on 15 Apr 2026 - 16:45

score 121 · Answer 14 · 2026-04-14 05:25:01

121

Views

Prove that $\sum_{n=1}^{\infty}n!x^n$ only converges if $x=0$

Published on 14 Apr 2026 - 5:25

score 389 · Answer 15 · 2026-04-11 23:53:23

389

Views

$\Delta$ operator is it as a differential operator?

Published on 11 Apr 2026 - 23:53

List Question

How would I prove that if 11n-5 is odd, then n is an even number using only a direct proof?

Estimations of some new recurrence sequences

Question about smooth functions and their signs with given initial conditions

Gamma function identity proof

A simpler way to prove that $\frac 32-x-\frac{1}{x+1}$ is negative for $x\geq1$, instead of computing derivative?

Find the $\mathcal{o}\left(n\right)$ so that $a_n\sim\frac{\mathcal{o}\left(n\right)}{n}+\mathcal{O}\left(\frac{1}{n}\right){\rm as}\lim a_n=\infty$

Given a recursion $a_{n+ 1}= \sqrt{na_{n}+ 2n+ 1}$ with $a_{1}\geq 1.$ Prove that $a_{n}\sim n\,{\rm as}\,n\rightarrow\infty$

Basic proof that Isogeny = group homomorphism without Riemann Roch?

Find the $\mathcal{O}\left(\frac{1}{n}\right)$ so that $a_n-1=\mathcal{O}\left(\frac{1}{n}\right)\,{\rm as}\,n\rightarrow\infty$

Volume and orientation application -Calculus of manifolds

Alternative proof for $1+2w+3w^2+\ldots+nw^{n-1}= \frac{n}{w-1}$

Given a recursion $a_{n+1}=\frac{a_n^2+1}{2}$ with $a_1=\frac12.$ Prove that $1-a_n\sim\frac2n-\frac{2\ln n}{n^2}\,{\rm as}\,n\rightarrow\infty$

Convex set also has convex closure (alternative proof)

Prove that $\sum_{n=1}^{\infty}n!x^n$ only converges if $x=0$

$\Delta$ operator is it as a differential operator?

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