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[[File: | [[File:34 21-FibonacciBlocks.png|right|300px|thumb|A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21.]] | ||
</div> | </div> | ||
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, | 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> | ||
Latest revision as of 03:05, 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].
The beginning of the sequence is thus:
- [math]\displaystyle{ 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots }[/math]