The scenario is as follows :
The numbers represent adult pairs of rabbits. I will also include pairs of juvenile rabbits as numbers in brackets eg. (1).
Each month, every pair of adult rabbits produces a pair of juveniles. It takes one month for each pair of juvenile rabbits to reach breeding age. Certain assumptions are made :
1) No rabbits die.
2) There are always an equal number of males/females.
Month 1 : 1 (0) - You have one pair of adult rabbits
Month 2 : 1 (1) - The adult pair breed
Month 3 : 2 (1) - The adult pair breed again, and the juvenile pair grow up
Month 4 : 3 (2) - The 2 adult pairs breed, and one juvenile pair grow up
Month 5 : 5 (3) - The 3 adult pairs breed, the 2 juvenile pairs grow up
Month 6 : 8 (5) - The 5 adult pairs breed, the 3 juvenile pairs grow up.
If you look at the growth pattern for either adult pairs or juvenile pairs, you find the famous Fibonacci series : 1,1,2,3,5,8,...,...
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Leonardo pision discovered the Fibonacci sequance
Discovery of the Fibonacci sequenceThe discovery of the Fibonacci sequence arose as the solution to a problem that required a mathematical approach. Leonardo Fibonacci, who was also known as Leonardo of Pisa, an Italian mathematician of the 13th Century, was trying to model the population of rabbits. His working hypothesis was that each pair of rabbits gave birth to a pair of baby rabbits in a period. In the next period, the babies were not yet old enough to breed but the original pair bred again. In the following period, the original as well as the babies from the first period bred. And so on. The number of pairs of rabbits in any period is given by the Fibonacci sequence.
It is the 14th number in the sequence.It is the 14th number in the sequence.It is the 14th number in the sequence.It is the 14th number in the sequence.
Yes - 5 is the fifth Fibonacci number.
Yes. 610 is the 15th number in the Fibonacci sequence.