User:Dz/fn: Difference between revisions

Revision as of 02:03, 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]

@@ Line 7: / Line 7: @@
 :<math>F_n=F_{n-1} + F_{n-2},</math>
 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: ==
 *[https://en.wikipedia.org/wiki/Golden_spiral Golden spiral]
 *[https://en.wikipedia.org/wiki/Fibonacci_number Fibonacci numbers]
 == Discussion: ==