Question

What sequences where the difference between their consecutive terms is always a fibonacci numbers?

score 202 · Answer 1 · 2014-10-02 18:29:56

202

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What sequences where the difference between their consecutive terms is always a fibonacci numbers?

Published on 02 Oct 2014 - 18:29

score 532 · Answer 2 · 2026-03-25 12:34:34

532

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Arctangents, Fibonacci numbers, and the golden ratio

Published on 25 Mar 2026 - 12:34

score 321 · Answer 3 · 2014-10-08 13:42:36

321

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Fibonacci sequence: how does $0$ get to $1$?

Published on 08 Oct 2014 - 13:42

score 295 · Answer 4 · 2014-10-09 18:09:01

295

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Mathematical induction used on Fibonacci Sequence

Published on 09 Oct 2014 - 18:09

score 1k · Answer 5 · 2014-10-11 23:56:18

1k

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Prove by Induction $F_{2n} = F_{n} * L_{n}$, for n >= 1

Published on 11 Oct 2014 - 23:56

score 77 · Answer 6 · 2014-10-13 07:13:11

77

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Determine whether $A215928(n)=G_n$.

Published on 13 Oct 2014 - 7:13

score 3.6k · Answer 7 · 2014-10-14 02:49:27

3.6k

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Prove that for each Fibonacci number $f_{4n}$ is a multiple of $3$.

Published on 14 Oct 2014 - 2:49

score 1.4k · Answer 8 · 2014-10-15 05:45:40

1.4k

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Prove every 4th Fibonacci number is divisible by 3 using mathematical Induction?

Published on 15 Oct 2014 - 5:45

score 1.2k · Answer 9 · 2014-10-15 22:34:04

1.2k

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Applying Fibonacci Fast Doubling Identities

Published on 15 Oct 2014 - 22:34

score 173 · Answer 10 · 2014-10-16 21:34:32

173

Views

Proof of ${F(n+4)}^{4} - {4F(n+3)}^{4} - {19F(n+2)}^{4} - {4F(n+1)}^{4}+{F(n)}^{4} = -6$

Published on 16 Oct 2014 - 21:34

score 418 · Answer 11 · 2014-10-18 18:26:55

418

Views

Proof a number is Fibonacci number

Published on 18 Oct 2014 - 18:26

score 84 · Answer 12 · 2014-10-19 14:47:55

84

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How to find $\sum_{n = 0}^{ \infty} \frac{F_n}{3^n}$

Published on 19 Oct 2014 - 14:47

score 984 · Answer 13 · 2014-10-21 09:53:53

984

Views

Calculating the hitting probability using the strong markov property

Published on 21 Oct 2014 - 9:53

score 99 · Answer 14 · 2014-10-21 14:58:03

99

Views

Proof of a formula for generalized Fibonacci numbers

Published on 21 Oct 2014 - 14:58

score 81 · Answer 15 · 2026-03-26 12:53:03

81

Views

Symmetric Fibonacci images

Published on 26 Mar 2026 - 12:53

List Question

What sequences where the difference between their consecutive terms is always a fibonacci numbers?

Arctangents, Fibonacci numbers, and the golden ratio

Fibonacci sequence: how does $0$ get to $1$?

Mathematical induction used on Fibonacci Sequence

Prove by Induction $F_{2n} = F_{n} * L_{n}$, for n >= 1

Determine whether $A215928(n)=G_n$.

Prove that for each Fibonacci number $f_{4n}$ is a multiple of $3$.

Prove every 4th Fibonacci number is divisible by 3 using mathematical Induction?

Applying Fibonacci Fast Doubling Identities

Proof of ${F(n+4)}^{4} - {4F(n+3)}^{4} - {19F(n+2)}^{4} - {4F(n+1)}^{4}+{F(n)}^{4} = -6$

Proof a number is Fibonacci number

How to find $\sum_{n = 0}^{ \infty} \frac{F_n}{3^n}$

Calculating the hitting probability using the strong markov property

Proof of a formula for generalized Fibonacci numbers

Symmetric Fibonacci images

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