Question

Prove convergence of alternating sequence with factorial in denominator $\frac{\left(-5\right)^n}{n!}$

score 239 · Answer 1 · 2026-04-15 18:02:41

239

Views

Prove convergence of alternating sequence with factorial in denominator $\frac{\left(-5\right)^n}{n!}$

Published on 15 Apr 2026 - 18:02

score 102 · Answer 2 · 2026-04-16 21:06:34

102

Views

Proving that if $a+b = c+d$ and $a!b! = c!d!$ then either $a = c$ and $b = d$ or $a = d$ and $b = c$

Published on 16 Apr 2026 - 21:06

score 90 · Answer 3 · 2026-04-14 06:14:55

90

Views

24!=a!b!c!*d! Find total number of ordered quadrapules which satisfy the given equation?

Published on 14 Apr 2026 - 6:14

score 92 · Answer 4 · 2026-04-12 08:44:38

92

Views

Is $100x^2+20x$ a factorial?

Published on 12 Apr 2026 - 8:44

score 56 · Answer 5 · 2026-04-13 23:03:54

56

Views

How would one find the largest integer $n$ such that $n! < a^n$ for some integer $a$?

Published on 13 Apr 2026 - 23:03

score 77 · Answer 6 · 2026-04-14 23:31:52

77

Views

Is there exist a function defined on the real or complex numbers that, restricted to the integers, is equal to the factorial?

Published on 14 Apr 2026 - 23:31

score 99 · Answer 7 · 2026-04-14 01:44:14

99

Views

Given the number of digits for $n!$ where $n \in \mathbb{Z}$ and $n \geq 7$, find the value of $n$.

Published on 14 Apr 2026 - 1:44

score 363 · Answer 8 · 2026-04-15 08:25:25

363

Views

cancelling out of $\frac{n!}{2n!}$?

Published on 15 Apr 2026 - 8:25

score 125 · Answer 9 · 2026-05-10 15:02:45

125

Views

Expressing a number as the sum of n factors of n!

Published on 10 May 2026 - 15:02

score 60 · Answer 10 · 2026-04-14 19:26:20

60

Views

Induction proof: $n! > (\frac{n}{2})^\frac{n}{2}$

Published on 14 Apr 2026 - 19:26

score 61 · Answer 11 · 2026-05-05 06:21:24

61

Views

Are there only finite many n-tupels of factorials summing up to a non-trivial power?

Published on 05 May 2026 - 6:21

score 2.4k · Answer 12 · 2026-05-10 19:51:46

2.4k

Views

What is the meaning and value of $(-0.5!)$?

Published on 10 May 2026 - 19:51

score 196 · Answer 13 · 2026-05-10 15:09:59

196

Views

Prove that $\frac{m!}{200}\neq50x^2+51x+13$ and is my working correct?

Published on 10 May 2026 - 15:09

score 167 · Answer 14 · 2026-04-29 12:46:08

167

Views

Disprove $m!=100x^2+20x$ using an estimation for factorial.

Published on 29 Apr 2026 - 12:46

score 28 · Answer 15 · 2026-05-10 23:38:28

28

Views

Find a lower bound of $k$ when $m!=100x^2+20x$ and $k*100x^2+20x=(m+5)!$

Published on 10 May 2026 - 23:38

List Question

Prove convergence of alternating sequence with factorial in denominator $\frac{\left(-5\right)^n}{n!}$

Proving that if $a+b = c+d$ and $a!b! = c!d!$ then either $a = c$ and $b = d$ or $a = d$ and $b = c$

24!=a!b!c!*d! Find total number of ordered quadrapules which satisfy the given equation?

Is $100x^2+20x$ a factorial?

How would one find the largest integer $n$ such that $n! < a^n$ for some integer $a$?

Is there exist a function defined on the real or complex numbers that, restricted to the integers, is equal to the factorial?

Given the number of digits for $n!$ where $n \in \mathbb{Z}$ and $n \geq 7$, find the value of $n$.

cancelling out of $\frac{n!}{2n!}$?

Expressing a number as the sum of n factors of n!

Induction proof: $n! > (\frac{n}{2})^\frac{n}{2}$

Are there only finite many n-tupels of factorials summing up to a non-trivial power?

What is the meaning and value of $(-0.5!)$?

Prove that $\frac{m!}{200}\neq50x^2+51x+13$ and is my working correct?

Disprove $m!=100x^2+20x$ using an estimation for factorial.

Find a lower bound of $k$ when $m!=100x^2+20x$ and $k*100x^2+20x=(m+5)!$

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