Difference between revisions of "Fibonacci numbers"
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| − | [https://www.youtube.com/watch?v= | + | [https://www.youtube.com/watch?v=ahXIMUkSXX0 Doodling in Math: Spirals, Fibonacci, and Being a Plant (1 of 3) (21 December 2011)]<br /> |
| − | [https://www.youtube.com/watch?v= | + | [https://www.youtube.com/watch?v=4oyyXC5IzEE The Golden Ratio & Fibonacci Numbers: Fact versus Fiction (11 December 2012)]<br /> |
| − | [https://www.youtube.com/watch?v=Nu-lW-Ifyec Fibonacci mystery]<br /> | + | [https://www.youtube.com/watch?v=Nu-lW-Ifyec Fibonacci mystery (18 September 2013)]<br /> |
=See also= | =See also= | ||
Revision as of 18:49, 10 December 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
Catalan's identity for the Fibonacci sequence
Videos
Doodling in Math: Spirals, Fibonacci, and Being a Plant (1 of 3) (21 December 2011)
The Golden Ratio & Fibonacci Numbers: Fact versus Fiction (11 December 2012)
Fibonacci mystery (18 September 2013)
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?"
