Question

Can 44 be a factor of $(n-3)(n-2)(n-1)n(n+1)(n+2)(n+3)$ where n is a natural number greater than 3?

score 135 · Answer 1 · 2013-08-07 12:22:25

135

Views

Can 44 be a factor of $(n-3)(n-2)(n-1)n(n+1)(n+2)(n+3)$ where n is a natural number greater than 3?

Published on 07 Aug 2013 - 12:22

score 1.2k · Answer 2 · 2013-08-07 13:14:49

1.2k

Views

How many values of $n<50$ exist that satisfy$ (n-1)! \ne kn$ where n,k are natural numbers?

Published on 07 Aug 2013 - 13:14

score 380 · Answer 3 · 2013-08-08 07:53:48

380

Views

Prove that $n! \geq 2^{n-1}$ for $ n\geq1$

Published on 08 Aug 2013 - 7:53

score 1.6k · Answer 4 · 2013-08-11 17:32:38

1.6k

Views

Show this equality (The factorial as an alternate sum with binomial coefficients).

Published on 11 Aug 2013 - 17:32

score 273 · Answer 5 · 2013-08-12 05:14:23

273

Views

Is it easier to calculate a factorial or the inverse of a factorial (1/n!) for extremely large n?

Published on 12 Aug 2013 - 5:14

score 1.2k · Answer 6 · 2013-08-12 20:07:12

1.2k

Views

Solving equation involving factorial

Published on 12 Aug 2013 - 20:07

score 60 · Answer 7 · 2013-08-13 04:37:24

60

Views

What are the best and most elementary bounds for $n!$?

Published on 13 Aug 2013 - 4:37

score 14.3k · Answer 8 · 2013-08-13 21:06:56

14.3k

Views

How many ways to split 5 numbers in 2 groups?

Published on 13 Aug 2013 - 21:06

score 7k · Answer 9 · 2013-08-19 04:45:46

7k

Views

Series $\frac{k^2}{k!}$ with $ k=1$ to $\infty$

Published on 19 Aug 2013 - 4:45

score 319 · Answer 10 · 2013-08-20 18:26:39

319

Views

Prove by induction $\frac{n^n}{3^n}<n!<\frac{n^n}{2^n}$

Published on 20 Aug 2013 - 18:26

score 2.9k · Answer 11 · 2026-03-27 13:20:14

2.9k

Views

Falling/Rising factorials on WolframAlpha

Published on 27 Mar 2026 - 13:20

score 111 · Answer 12 · 2013-08-23 18:08:10

111

Views

Show that $\frac{1}{r!}-\frac{1}{(r+1)!}\equiv\frac{r}{(r+1)!}$.

Published on 23 Aug 2013 - 18:08

score 23 · Answer 13 · 2013-08-26 02:37:39

23

Views

Simple Calculation

Published on 26 Aug 2013 - 2:37

score 38 · Answer 14 · 2013-08-26 03:32:04

38

Views

Simplify the following problem

Published on 26 Aug 2013 - 3:32

score 153 · Answer 15 · 2013-08-28 19:20:14

153

Views

Simlifying [(k+1)! - 1] + (k+1)((k + 1)!)

Published on 28 Aug 2013 - 19:20

List Question

Can 44 be a factor of $(n-3)(n-2)(n-1)n(n+1)(n+2)(n+3)$ where n is a natural number greater than 3?

How many values of $n<50$ exist that satisfy$ (n-1)! \ne kn$ where n,k are natural numbers?

Prove that $n! \geq 2^{n-1}$ for $ n\geq1$

Show this equality (The factorial as an alternate sum with binomial coefficients).

Is it easier to calculate a factorial or the inverse of a factorial (1/n!) for extremely large n?

Solving equation involving factorial

What are the best and most elementary bounds for $n!$?

How many ways to split 5 numbers in 2 groups?

Series $\frac{k^2}{k!}$ with $ k=1$ to $\infty$

Prove by induction $\frac{n^n}{3^n}<n!<\frac{n^n}{2^n}$

Falling/Rising factorials on WolframAlpha

Show that $\frac{1}{r!}-\frac{1}{(r+1)!}\equiv\frac{r}{(r+1)!}$.

Simple Calculation

Simplify the following problem

Simlifying [(k+1)! - 1] + (k+1)((k + 1)!)

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