List questions from fibonacci-numbers

Published on 27 Feb 2018 - 22:21

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Find a pattern and prove it by mathematical induction:

Published on 22 Mar 2026 - 14:36

125

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Are $\varphi$ and $\varphi^3$ the only powers of $\varphi$ that are also metallic ratios?

Published on 02 Mar 2018 - 23:33

795

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Proof of correctness (loop invariant) for Fibonacci numbers

Published on 23 Mar 2026 - 1:44

401

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Musical and combinatorial proof

Published on 21 Mar 2026 - 21:08

259

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How to solve multidimensional recurrence relation with a weight coefficient?

Published on 05 Mar 2018 - 19:24

398

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Expected number of days until it rains d days in a row when P(rain)=p

Published on 08 Mar 2018 - 21:38

47

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Proving a recursive relationship

Published on 22 Mar 2026 - 5:57

2k

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General term for fibonacci sequence

Published on 22 Mar 2026 - 2:30

783

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Formula for Fibonacci sequence modulo 11

Published on 22 Mar 2026 - 8:38

69

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given that the limit $\lim _{n \to \infty} \frac{x_n}{x_{n+1}}=x$ exists, find the value of $x$

Published on 12 Mar 2018 - 14:10

638

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Number of binary strings not having even-length runs of $0$ or $1$

Published on 13 Mar 2018 - 7:01

761

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How to prove this Fibonacci sequence statement: $F^2_{n+1} - F^2_{n-1} = F_{2n}$

Published on 13 Mar 2018 - 23:39

72

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How to prove this Fibonacci Statement?

Published on 22 Mar 2026 - 1:59

98

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How can i show that$(F_{n-1}F_{n+2})^2+(2F_nF_{n+1})^2=(F_{2n+2})^2$ by combinatorial proof?

Published on 19 Mar 2018 - 14:09

List Question

Is it true that F2n is divided by Fn (Fibonacci)

Find a pattern and prove it by mathematical induction:

Are $\varphi$ and $\varphi^3$ the only powers of $\varphi$ that are also metallic ratios?

Proof of correctness (loop invariant) for Fibonacci numbers

Musical and combinatorial proof

How to solve multidimensional recurrence relation with a weight coefficient?

Expected number of days until it rains d days in a row when P(rain)=p

Proving a recursive relationship

General term for fibonacci sequence

Formula for Fibonacci sequence modulo 11

given that the limit $\lim _{n \to \infty} \frac{x_n}{x_{n+1}}=x$ exists, find the value of $x$

Number of binary strings not having even-length runs of $0$ or $1$

How to prove this Fibonacci sequence statement: $F^2_{n+1} - F^2_{n-1} = F_{2n}$

How to prove this Fibonacci Statement?

How can i show that$(F_{n-1}F_{n+2})^2+(2F_nF_{n+1})^2=(F_{2n+2})^2$ by combinatorial proof?

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