Tuesday, June 10, 2014

Discovery and Definition of the Fibonacci Sequence



"A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair, which from the second month on becomes productive?"
- Fibonacci's Laber Abaci

Fibonacci first started forming his idea of the Fibonacci sequence when watching rabbits reproduce. He realized that at the end of the first month their would be 1 pair of rabbits, at the end of the second month their would be 2 pairs and then each month the amount of rabbits would keep growing. 

The rule for Fibonacci's Sequence:
 Fn= (Fn-1)+(Fn-2)

Definition of a Fibonacci Number:
A number that is the sum of the two numbers before it.

Works Cited:
1) " Fibonacci Sequence." Definition of Fibonacci Sequence. Math Is Fun, n.d. Web. 10 June 2014. <http://www.mathsisfun.com/definitions/fibonacci-sequence.html>.
2) "The Life and Numbers of Fibonacci." Plus.maths.org. Plus Magazine, n.d. Web. 09 June 2014. <http://plus.maths.org/content/life-and-numbers-fibonacci>.



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