The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding numbers. This document describes how the Fibonacci sequence appears in rabbit populations, with each new pair being the sum of existing pairs from the previous months. It also notes that the Fibonacci sequence appears throughout nature in patterns of plant growth, spirals in shells, and other biological settings.

2. FIBONACCI SEQUENCE
The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
The next number is found by adding up the two numbers before it.
• The 2 is found by adding the two numbers before it (1+1)
• The 3 is found by adding the two numbers before it (1+2),
• And the 5 is (2+3),
and so on!

4. Suppose a newly-born pair of rabbits, one male, one female,
are put in a field.
Rabbits are able to mate at the age of one month so that at the
end of its second
month a female can produce another pair of
rabbits. Suppose that our rabbits never die and that the female
always produces one new pair
(one male, one female) every month from the second month
on. How many pairs will there be in one year ?
The solution, generation by generation, was a sequence of
numbers later known as Fibonacci numbers: the
number of existing pairs is the sum of the two previous
numbers of pairs in the sequence.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
FIBONACCI AND THE RABBIT – A STORY

6. APPLICATIONS IN NATURE