Question

Proof by Induction involving Two Variables

score 6k · Answer 1 · 2018-08-23 02:49:42

6k

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Proof by Induction involving Two Variables

Published on 23 Aug 2018 - 2:49

score 165 · Answer 2 · 2018-08-23 03:31:08

165

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proof with induction $\sum_{k=0}^n (-1)^k \binom{n}{k} (n-k+1)^n = n!$

Published on 23 Aug 2018 - 3:31

score 563 · Answer 3 · 2018-08-24 14:59:07

563

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Prove that if $n, m \in \mathbb{N}$, then $m+n \neq n$ (by induction/contradiction)

Published on 24 Aug 2018 - 14:59

score 954 · Answer 4 · 2018-08-24 16:06:02

954

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Using mathematical induction to prove divisibility of a number and its binary reverse by 3.

Published on 24 Aug 2018 - 16:06

score 369 · Answer 5 · 2026-03-25 09:36:31

369

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An endofunction on natural numbers defined by induction on $n$.

Published on 25 Mar 2026 - 9:36

score 36 · Answer 6 · 2026-03-26 02:52:37

36

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Missing basis step while solving a recurrence inductively

Published on 26 Mar 2026 - 2:52

score 53 · Answer 7 · 2018-08-26 16:45:37

53

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Polynomial and Strong Induction

Published on 26 Aug 2018 - 16:45

score 39 · Answer 8 · 2026-03-26 20:41:14

39

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When proving $\binom{n}{r} = \binom{n-1}{r} + \binom{n-1}{r-1}$ per induction over $n$, why don’t we need induction over $r$?

Published on 26 Mar 2026 - 20:41

score 126 · Answer 9 · 2026-03-25 16:48:56

126

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Modulo Arithmetic: Proof of Basic Property

Published on 25 Mar 2026 - 16:48

score 1.8k · Answer 10 · 2018-08-27 19:02:34

1.8k

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Prove that if $m,n $ are natural and $m>n $ then $m-n$ is natural

Published on 27 Aug 2018 - 19:02

score 150 · Answer 11 · 2018-08-28 14:33:47

150

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Mathematical Induction: Addition of uneven cubes

Published on 28 Aug 2018 - 14:33

score 420 · Answer 12 · 2018-08-28 16:06:33

420

Views

For all naturals $n: n<x<n+1 \implies x \notin N$

Published on 28 Aug 2018 - 16:06

score 649 · Answer 13 · 2026-03-25 22:03:34

649

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Inductive Proof of a property of String concatenation

Published on 25 Mar 2026 - 22:03

score 1k · Answer 14 · 2026-03-25 17:42:21

1k

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Showing that the $n$-th Fibonacci number $f_n$ satisfies $f_n < 2^n$

Published on 25 Mar 2026 - 17:42

score 361 · Answer 15 · 2018-08-29 03:32:42

361

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Prove by induction that $23^{2n} + 31^{2n}+46$ is divisible by 48 for all integers $n \ge 0$

Published on 29 Aug 2018 - 3:32

List Question

Proof by Induction involving Two Variables

proof with induction $\sum_{k=0}^n (-1)^k \binom{n}{k} (n-k+1)^n = n!$

Prove that if $n, m \in \mathbb{N}$, then $m+n \neq n$ (by induction/contradiction)

Using mathematical induction to prove divisibility of a number and its binary reverse by 3.

An endofunction on natural numbers defined by induction on $n$.

Missing basis step while solving a recurrence inductively

Polynomial and Strong Induction

When proving $\binom{n}{r} = \binom{n-1}{r} + \binom{n-1}{r-1}$ per induction over $n$, why don’t we need induction over $r$?

Modulo Arithmetic: Proof of Basic Property

Prove that if $m,n $ are natural and $m>n $ then $m-n$ is natural

Mathematical Induction: Addition of uneven cubes

For all naturals $n: n<x<n+1 \implies x \notin N$

Inductive Proof of a property of String concatenation

Showing that the $n$-th Fibonacci number $f_n$ satisfies $f_n < 2^n$

Prove by induction that $23^{2n} + 31^{2n}+46$ is divisible by 48 for all integers $n \ge 0$

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