Question

Fibonacci Identity Inductive Proof

score 553 · Answer 1 · 2026-04-15 03:57:22

553

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Fibonacci Identity Inductive Proof

Published on 15 Apr 2026 - 3:57

score 80 · Answer 2 · 2026-04-11 19:29:32

80

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Is this a valid method for proof by induction - $3^{2n}+11$ is divisible by 4

Published on 11 Apr 2026 - 19:29

score 170 · Answer 3 · 2026-04-16 12:58:22

170

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$2^n + 3 \ge n^2 $ Mathematical induction proof

Published on 16 Apr 2026 - 12:58

score 445 · Answer 4 · 2026-04-14 00:25:48

445

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Prove a relation to be reflexive by induction

Published on 14 Apr 2026 - 0:25

score 165 · Answer 5 · 2026-04-16 03:45:39

165

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Use induction to prove that if p is prime and $a_1, a_2, . . . , a_n$ are integers, then ...

Published on 16 Apr 2026 - 3:45

score 325 · Answer 6 · 2026-04-16 17:16:33

325

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Prove the following: For all $k\in\mathbb{N},4^k>k$.

Published on 16 Apr 2026 - 17:16

score 392 · Answer 7 · 2026-04-16 09:11:16

392

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Prove the following: For n ≥ 4, n ^2 ≤ 2^n

Published on 16 Apr 2026 - 9:11

score 177 · Answer 8 · 2026-04-12 14:52:41

177

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Counting subsets.

Published on 12 Apr 2026 - 14:52

score 370 · Answer 9 · 2026-04-12 06:31:10

370

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How to construct sequences by induction?

Published on 12 Apr 2026 - 6:31

score 3.2k · Answer 10 · 2026-04-13 18:18:54

3.2k

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Using the pigeonhole principle prove that the decimal expansion of $1/k$ for any $k\in\Bbb N_{>0}$ becomes cyclic at some point

Published on 13 Apr 2026 - 18:18

score 283 · Answer 11 · 2026-04-17 11:11:51

283

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$\forall x \in \mathbb{Z^+}, x \neq 1 \implies \left(\forall n \in \mathbb{N}, \sum_{i=0}^{n-1}{x^i}=\frac{x^n-1}{x-1}\right) $

Published on 17 Apr 2026 - 11:11

score 27 · Answer 12 · 2026-04-17 13:21:05

27

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Induction Proof: Prove that if $|N(w)| = 3^k$ for $k\geq 0$, then $N(w) = (-3)^k$.

Published on 17 Apr 2026 - 13:21

score 1k · Answer 13 · 2026-04-14 17:18:26

1k

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complete graph as an union of bipartite graphs

Published on 14 Apr 2026 - 17:18

score 436 · Answer 14 · 2026-04-16 05:27:52

436

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$\sum_{n=1}^{N}\sin(x)\cos((2n-1)x) = \frac{1}{2}\sin(2Nx)$

Published on 16 Apr 2026 - 5:27

score 1.2k · Answer 15 · 2026-04-09 14:54:24

1.2k

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If $\phi$ is a tautology then dual $\phi$ is a contradiction.

Published on 09 Apr 2026 - 14:54

List Question

Fibonacci Identity Inductive Proof

Is this a valid method for proof by induction - $3^{2n}+11$ is divisible by 4

$2^n + 3 \ge n^2 $ Mathematical induction proof

Prove a relation to be reflexive by induction

Use induction to prove that if p is prime and $a_1, a_2, . . . , a_n$ are integers, then ...

Prove the following: For all $k\in\mathbb{N},4^k>k$.

Prove the following: For n ≥ 4, n ^2 ≤ 2^n

Counting subsets.

How to construct sequences by induction?

Using the pigeonhole principle prove that the decimal expansion of $1/k$ for any $k\in\Bbb N_{>0}$ becomes cyclic at some point

$\forall x \in \mathbb{Z^+}, x \neq 1 \implies \left(\forall n \in \mathbb{N}, \sum_{i=0}^{n-1}{x^i}=\frac{x^n-1}{x-1}\right) $

Induction Proof: Prove that if $|N(w)| = 3^k$ for $k\geq 0$, then $N(w) = (-3)^k$.

complete graph as an union of bipartite graphs

$\sum_{n=1}^{N}\sin(x)\cos((2n-1)x) = \frac{1}{2}\sin(2Nx)$

If $\phi$ is a tautology then dual $\phi$ is a contradiction.

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