Fibonacci sequence: Difference between revisions
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'''Binet's formula''' is an explicit formula used to find any nth term. | '''Binet's formula''' is an explicit formula used to find any nth term. | ||
It is <math>\frac{1}{\sqrt{5}}\left(\left(\frac{1+\sqrt{5}}{2}\right)^n-\left(\frac{1-\sqrt{5}}{2}\right)^n\right)</math> | It is <math>\frac{1}{\sqrt{5}}\left(\left(\frac{1+\sqrt{5}}{2}\right)^n-\left(\frac{1-\sqrt{5}}{2}\right)^n\right)</math> | ||
{{stub}} | |||
==See also== | |||
* [[Combinatorics]] | |||
Revision as of 20:12, 24 June 2006
The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding it (the first two terms are simply 1). The first few terms are 
.
The Fibonacci sequence can be written recursively as 
.
Introduction
Ratios between successive terms, 
, 
, 
, 
, 
, tend towards the limit phi.
Intermediate
Binet's formula is an explicit formula used to find any nth term.
It is 
This article is a stub. Help us out by expanding it.
