List questions from fibonacci-numbers

Published on 19 May 2019 - 20:58

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Index of Fibonacci primes and Lucas primes.

Published on 22 May 2019 - 18:15

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Recurrence $f_{n+2}=af_{n+1}+bf_n$

Published on 25 May 2019 - 23:47

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Show that the $n$-th Fibonacci number is given by $\frac{\cosh na}{\cosh a}$ or $\frac{\sinh na}{\cosh a}$, where $\sinh a=1/2$

Published on 25 Mar 2026 - 19:07

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Show the Fibonacci numbers satisfy F(n) $\ge$ $2 ^ {(n-1) / 2}$

Published on 29 May 2019 - 7:32

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Inequalities related to the Pisano Period

Published on 30 May 2019 - 23:05

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Proving that ratio of two consecutive Fibonacci numbers to converges to golden ratio by induction

Published on 25 Mar 2026 - 9:30

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Limit of ratio of consecutive terms of a recurrence relation.

Published on 09 Jun 2019 - 6:13

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obtain fibonacci box from a pythagorean triple?

Published on 26 Mar 2026 - 4:30

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Prove that the Fibonacci function $F(n)$ is NOT $\Omega(n)$

Published on 21 Jun 2019 - 12:38

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Compute index of Fibonacci number mod prime

Published on 26 Mar 2026 - 16:06

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letting $F(n)$ denote the nth Fibonacci number, prove that $F(n)$ is not $\Omega(2^n)$

Published on 22 Jun 2019 - 3:26

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Fibonacci/Euclid algorithm proof explanation

Published on 24 Jun 2019 - 14:09

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Use Binet's formula for the Fibonacci numbers to show $\lim_{n \rightarrow \infty} \frac{u_{n+1}}{u_{n}} = \phi.$

Published on 25 Jun 2019 - 7:50

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Perfect Squares in Fibonacci Numbers

Published on 25 Mar 2026 - 9:24

List Question

convergence of a fibonacci-like sequence

Index of Fibonacci primes and Lucas primes.

Recurrence $f_{n+2}=af_{n+1}+bf_n$

Show that the $n$-th Fibonacci number is given by $\frac{\cosh na}{\cosh a}$ or $\frac{\sinh na}{\cosh a}$, where $\sinh a=1/2$

Show the Fibonacci numbers satisfy F(n) $\ge$ $2 ^ {(n-1) / 2}$

Inequalities related to the Pisano Period

Proving that ratio of two consecutive Fibonacci numbers to converges to golden ratio by induction

Limit of ratio of consecutive terms of a recurrence relation.

obtain fibonacci box from a pythagorean triple?

Prove that the Fibonacci function $F(n)$ is NOT $\Omega(n)$

Compute index of Fibonacci number mod prime

letting $F(n)$ denote the nth Fibonacci number, prove that $F(n)$ is not $\Omega(2^n)$

Fibonacci/Euclid algorithm proof explanation

Use Binet's formula for the Fibonacci numbers to show $\lim_{n \rightarrow \infty} \frac{u_{n+1}}{u_{n}} = \phi.$

Perfect Squares in Fibonacci Numbers

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