Difference between revisions of "Fibonacci numbers"

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The Fibonacci sequence is defined by
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The Fibonacci sequence numbers $F_n$ are defined by the recurrence
 
$$F_{n+2}=F_n+F_{n+1}, \quad F_1=F_2=1.$$
 
$$F_{n+2}=F_n+F_{n+1}, \quad F_1=F_2=1.$$
  
 
=Properties=
 
=Properties=
 
[[Limit of quotient of consecutive Fibonacci numbers]]<br />
 
[[Limit of quotient of consecutive Fibonacci numbers]]<br />
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[[Binet's formula]]<br />
  
 
=Videos=
 
=Videos=

Revision as of 14:37, 9 August 2016

The Fibonacci sequence numbers $F_n$ are defined by the recurrence $$F_{n+2}=F_n+F_{n+1}, \quad F_1=F_2=1.$$

Properties

Limit of quotient of consecutive Fibonacci numbers
Binet's formula

Videos

The Golden Ratio & Fibonacci Numbers: Fact versus Fiction
Doodling in Math: Spirals, Fibonacci, and Being a Plant (1 of 3)
Fibonacci mystery

See also

Golden ratio
Reciprocal Fibonacci constant
Lucas numbers

External links

The Fibonacci Quarterly
"What interesting properties of the Fibonacci sequence can I share when introducing sequences?"

References