Difference between revisions of "Fibonacci numbers"

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(Properties)
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[[Sum of odd indexed Fibonacci numbers]]<br />
 
[[Sum of odd indexed Fibonacci numbers]]<br />
 
[[Sum of even indexed Fibonacci numbers]]<br />
 
[[Sum of even indexed Fibonacci numbers]]<br />
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[[Sum of squares of Fibonacci numbers]]<br />
  
 
=Videos=
 
=Videos=

Revision as of 02:25, 15 September 2016

The Fibonacci sequence numbers $F_n$ are defined by the recurrence $$F_{n+2}=F_n+F_{n+1}, \quad F(0)=0, F(1)=1.$$

Properties

Limit of quotient of consecutive Fibonacci numbers
Binet's formula
Sum of Fibonacci numbers
Sum of odd indexed Fibonacci numbers
Sum of even indexed Fibonacci numbers
Sum of squares of Fibonacci numbers

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

Fibonacci zeta function
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