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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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