User:Dz/fn: Difference between revisions
< User:Dz
(Created page with "<div class="floatright" style="text-align: center"> center|class=shadow|300px </div> In mathematics, the '''Fibonacci numbers''', commonly d...") Â |
No edit summary  |
||
| (5 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
<div | <div style="text-align: center; padding-right: 300"> | ||
[[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 | Â | ||
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>. | ||
 | |||
The beginning of the sequence is thus: | |||
:<math>0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots</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: == | ||
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]