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[[File:Goldenratio_fibonacci.png|center|class=shadow|300px]] | [[File:Goldenratio_fibonacci.png|center|class=shadow|300px]] | ||
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In mathematics, the '''Fibonacci numbers''', commonly denoted <math> | In mathematics, the '''Fibonacci numbers''', commonly denoted <math>F_n</math>, form a sequence, called the '''Fibonacci sequence''', such that each number is the sum of the two preceding ones, starting from 0 and 1. That is, | ||
:<math>F_0=0,\quad F_1= 1,</math> | :<math>F_0=0,\quad F_1= 1,</math> | ||
and | and | ||
:<math>F_n=F_{n-1} + F_{n-2},</math> | :<math>F_n=F_{n-1} + F_{n-2},</math> | ||
for | for <math>n > 1</math>. | ||
== Resources: == | == Resources: == | ||
*[https://en.wikipedia.org/wiki/Golden_spiral Golden spiral] | *[https://en.wikipedia.org/wiki/Golden_spiral Golden spiral] | ||
*[https://en.wikipedia.org/wiki/Fibonacci_number Fibonacci numbers] | *[https://en.wikipedia.org/wiki/Fibonacci_number Fibonacci numbers] | ||
== Discussion: == | == Discussion: == | ||
Revision as of 01:58, 2 May 2020
In mathematics, the Fibonacci numbers, commonly denoted [math]\displaystyle{ F_n }[/math], form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is,
- [math]\displaystyle{ F_0=0,\quad F_1= 1, }[/math]
and
- [math]\displaystyle{ F_n=F_{n-1} + F_{n-2}, }[/math]
for [math]\displaystyle{ n \gt 1 }[/math].