List questions from fibonacci-numbers

Published on 21 Sep 2016 - 19:19

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Fibonacci numbers: proof4

Published on 02 Oct 2016 - 10:18

955

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Prove the number of subsets with no consecutive integers within a set

Published on 02 Oct 2016 - 18:15

76

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Inductive proof using modular Fibonacci numbers

Published on 02 Oct 2016 - 18:38

33

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Prove that difference of next and previous terms of the Fibonacci sequence and the square of the current term is $\pm 1$

Published on 04 Oct 2016 - 2:11

91

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Find all pairs $(a,b)\in \mathbb{R^2}$ such that $af_n^2+bf_{n+1}^2 $ is a member of the Fibonacci sequence for all $n\in\mathbb{N}$.

Published on 04 Oct 2016 - 2:20

233

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Convergence of $r_n$ = $a_n$ / $a_{n+1}$ where $a_n$ is Fibonacci sequence

Published on 04 Oct 2016 - 19:51

241

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Proof By Induction: Fibonacci Results

Published on 05 Oct 2016 - 22:02

78

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Inductively proving a fibonacci numbers statement

Published on 06 Oct 2016 - 19:59

628

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Why are bitstrings without 00 of length n equals $Fib_{n+2}$?

Published on 23 Feb 2026 - 8:59

8k

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Tiling a $2×N$ rectangle with $1×1$ and $2×1$ tiles

Published on 26 Mar 2026 - 16:05

619

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Show that exist infinitely many pairs of natural numbers $(m, n)$ such that $\text{gcd}(m^2+1, n^2+1)=m+n$.

Published on 08 Oct 2016 - 15:01

107

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Evaluating the sum $\sum_{i=0}^\infty \frac{F_n}{2015^n}$

Published on 11 Oct 2016 - 23:23

813

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Proving Fibonacci sequence with combinatorics and binary strings

Published on 12 Oct 2016 - 1:09

75

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Haven't learned calculus yet but I need this for a proof for Fibonacci numbers and its limit

Published on 12 Oct 2016 - 17:09

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A Fibonacci Inequality

Fibonacci numbers: proof4

Prove the number of subsets with no consecutive integers within a set

Inductive proof using modular Fibonacci numbers

Prove that difference of next and previous terms of the Fibonacci sequence and the square of the current term is $\pm 1$

Find all pairs $(a,b)\in \mathbb{R^2}$ such that $af_n^2+bf_{n+1}^2 $ is a member of the Fibonacci sequence for all $n\in\mathbb{N}$.

Convergence of $r_n$ = $a_n$ / $a_{n+1}$ where $a_n$ is Fibonacci sequence

Proof By Induction: Fibonacci Results

Inductively proving a fibonacci numbers statement

Why are bitstrings without 00 of length n equals $Fib_{n+2}$?

Tiling a $2×N$ rectangle with $1×1$ and $2×1$ tiles

Show that exist infinitely many pairs of natural numbers $(m, n)$ such that $\text{gcd}(m^2+1, n^2+1)=m+n$.

Evaluating the sum $\sum_{i=0}^\infty \frac{F_n}{2015^n}$

Proving Fibonacci sequence with combinatorics and binary strings

Haven't learned calculus yet but I need this for a proof for Fibonacci numbers and its limit

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