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Using two dimensional mathematical induction

score 1.9k · Answer 1 · 2026-04-11 16:58:29

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Using two dimensional mathematical induction

Published on 11 Apr 2026 - 16:58

score 830 · Answer 2 · 2026-04-14 13:55:02

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recursive sequences bounded above and their limits at infinity

Published on 14 Apr 2026 - 13:55

score 1.1k · Answer 3 · 2026-04-16 20:20:19

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How to prove that $2^{n+2}+3^{2n+1}$ is divisible by 7 using induction?

Published on 16 Apr 2026 - 20:20

score 387 · Answer 4 · 2026-04-15 17:49:27

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Solution check: Let $f_n$ be fibonacci numbers. Prove: $\sum_{k=0}^{n-1} \binom{n+k}{2k+1} = f_{2n-1}$ and $\sum_{k=0}^n \binom{n+k}{2k} = f_{2n}$

Published on 15 Apr 2026 - 17:49

score 351 · Answer 5 · 2026-04-13 20:49:33

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Strong Induction Proof

Published on 13 Apr 2026 - 20:49

score 2.8k · Answer 6 · 2026-04-17 05:22:32

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Prove by induction that $1+4+7+...+(3n-2) = 2n(3n-1)$

Published on 17 Apr 2026 - 5:22

score 190 · Answer 7 · 2026-04-18 09:50:24

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Prove that $7$ divides $1 + 2^{(2^n)} + 2^{(2^{n+1})}$ by induction

Published on 18 Apr 2026 - 9:50

score 47 · Answer 8 · 2026-04-12 07:09:10

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Is this a proof that recursive definition of functions indeed defines a function?

Published on 12 Apr 2026 - 7:09

score 183 · Answer 9 · 2026-04-13 04:15:24

183

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Prove this binomial identity using induction

Published on 13 Apr 2026 - 4:15

score 41 · Answer 10 · 2026-04-16 03:48:44

41

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Is there an easier way to prove this induction?

Published on 16 Apr 2026 - 3:48

score 16k · Answer 11 · 2026-04-29 19:17:38

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Prove $F(n) < 2^n$

Published on 29 Apr 2026 - 19:17

score 551 · Answer 12 · 2026-04-18 00:55:48

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Proving $F_n \ge (\frac{1}{2}(1+\sqrt{5}))^{n-2}$ for $n \in \mathbb{N}_{>1}$ when $F_n$ is the nth Fibonacci number

Published on 18 Apr 2026 - 0:55

score 417 · Answer 13 · 2026-04-13 22:27:31

417

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Using induction to prove that $n^2 > n + 1$ for $n\geq2$

Published on 13 Apr 2026 - 22:27

score 226 · Answer 14 · 2026-04-17 06:39:36

226

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Using induction to prove the "hockey stick theorem"

Published on 17 Apr 2026 - 6:39

score 207 · Answer 15 · 2026-04-16 00:30:16

207

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Prove $\frac{1}{n} =\frac{1}{n+1}+\frac{1}{n(n+1)}$ for all integers $n\in\Bbb Z$

Published on 16 Apr 2026 - 0:30

List Question

Using two dimensional mathematical induction

recursive sequences bounded above and their limits at infinity

How to prove that $2^{n+2}+3^{2n+1}$ is divisible by 7 using induction?

Solution check: Let $f_n$ be fibonacci numbers. Prove: $\sum_{k=0}^{n-1} \binom{n+k}{2k+1} = f_{2n-1}$ and $\sum_{k=0}^n \binom{n+k}{2k} = f_{2n}$

Strong Induction Proof

Prove by induction that $1+4+7+...+(3n-2) = 2n(3n-1)$

Prove that $7$ divides $1 + 2^{(2^n)} + 2^{(2^{n+1})}$ by induction

Is this a proof that recursive definition of functions indeed defines a function?

Prove this binomial identity using induction

Is there an easier way to prove this induction?

Prove $F(n) < 2^n$

Proving $F_n \ge (\frac{1}{2}(1+\sqrt{5}))^{n-2}$ for $n \in \mathbb{N}_{>1}$ when $F_n$ is the nth Fibonacci number

Using induction to prove that $n^2 > n + 1$ for $n\geq2$

Using induction to prove the "hockey stick theorem"

Prove $\frac{1}{n} =\frac{1}{n+1}+\frac{1}{n(n+1)}$ for all integers $n\in\Bbb Z$

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