Question

Is transfinite induction needed to remove all the elements from an uncountable set?

score 381 · Answer 1 · 2026-05-11 02:18:22

381

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Is transfinite induction needed to remove all the elements from an uncountable set?

Published on 11 May 2026 - 2:18

score 1.6k · Answer 2 · 2026-04-15 02:54:31

1.6k

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Proving that $n|m\implies f_n|f_m$

Published on 15 Apr 2026 - 2:54

score 239 · Answer 3 · 2026-04-16 16:49:35

239

Views

If $S_n = 1+ 2 +3 + \cdots + n$, then prove that the last digit of $S_n$ is not 2,4 7,9.

Published on 16 Apr 2026 - 16:49

score 1.1k · Answer 4 · 2026-04-16 07:24:25

1.1k

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Fiboncacci theorem: Proof by induction that $F_{n} \cdot F_{n+1} - F_{n-2}\cdot F_{n-1}=F_{2n-1}$

Published on 16 Apr 2026 - 7:24

score 2.8k · Answer 5 · 2026-04-16 13:06:24

2.8k

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Prove by mathematical induction that $1 + 1/4 +\ldots + 1/4^n \to 4/3$

Published on 16 Apr 2026 - 13:06

score 788 · Answer 6 · 2026-04-10 07:51:46

788

Views

Induction on the Fibonacci sequence?

Published on 10 Apr 2026 - 7:51

score 221 · Answer 7 · 2026-04-14 03:46:47

221

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Induction proof: $\dbinom{2n}{n}=\dfrac{(2n)!}{n!n!}$ is an integer.

Published on 14 Apr 2026 - 3:46

score 4.6k · Answer 8 · 2026-04-25 05:29:30

4.6k

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9 pirates have to divide 1000 coins...

Published on 25 Apr 2026 - 5:29

score 1.1k · Answer 9 · 2026-04-12 02:46:16

1.1k

Views

Induction with compositions

Published on 12 Apr 2026 - 2:46

score 2.4k · Answer 10 · 2026-04-14 08:42:14

2.4k

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I need help with proofs using mathematical induction: $2+7+12+17+...+(5n-3)=(\frac{n}{2})(5n-1)$

Published on 14 Apr 2026 - 8:42

score 119 · Answer 11 · 2026-04-15 03:18:19

119

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Prove summation using induction

Published on 15 Apr 2026 - 3:18

score 2.2k · Answer 12 · 2026-04-16 05:14:42

2.2k

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Showing that the arithmetic mean is greater than or equal to the geometric mean (Spivak Calculus 3rd Chapter 2 Problem 22)

Published on 16 Apr 2026 - 5:14

score 610 · Answer 13 · 2026-05-03 20:17:41

610

Views

Another hat problem

Published on 03 May 2026 - 20:17

score 205 · Answer 14 · 2026-04-11 17:49:46

205

Views

Recursive Definitions with Converse

Published on 11 Apr 2026 - 17:49

score 2.4k · Answer 15 · 2026-04-12 09:52:47

2.4k

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proof by induction to demonstrate all even Fibonacci numbers have indices divisible by 3

Published on 12 Apr 2026 - 9:52

List Question

Is transfinite induction needed to remove all the elements from an uncountable set?

Proving that $n|m\implies f_n|f_m$

If $S_n = 1+ 2 +3 + \cdots + n$, then prove that the last digit of $S_n$ is not 2,4 7,9.

Fiboncacci theorem: Proof by induction that $F_{n} \cdot F_{n+1} - F_{n-2}\cdot F_{n-1}=F_{2n-1}$

Prove by mathematical induction that $1 + 1/4 +\ldots + 1/4^n \to 4/3$

Induction on the Fibonacci sequence?

Induction proof: $\dbinom{2n}{n}=\dfrac{(2n)!}{n!n!}$ is an integer.

9 pirates have to divide 1000 coins...

Induction with compositions

I need help with proofs using mathematical induction: $2+7+12+17+...+(5n-3)=(\frac{n}{2})(5n-1)$

Prove summation using induction

Showing that the arithmetic mean is greater than or equal to the geometric mean (Spivak Calculus 3rd Chapter 2 Problem 22)

Another hat problem

Recursive Definitions with Converse

proof by induction to demonstrate all even Fibonacci numbers have indices divisible by 3

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