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Fibonacci and Nature

The math project topic Eddy and I have chosen is the Fibonacci Sequence and it's relation to nature. The Sequence is very popular and involves many aspects of life including animals, plants and other educational purposes. The topic is extremely interesting and will change the way students look at everyday things by considering Fibonacci and his famous numbering system.

The Fibonacci Sequence is a series of numbers first created in 1202 by Leonardo Fibonacci. It is a relatively simple series, but it's ramifications and applications are practically limitless. It has fascinated mathematicians for over 700 years, and nearly everyone who has worked with it has added a new tidbit of information to the Fibonacci puzzle. The mathematics of the Sequence is a constantly expanding branch of number theory, with more and more people being drawn into the complex subleties of Fibonacci's legacy.

The Sequence works by taking the last two numbers in the sequence and adding them to form the next number in the sequence. Thus, if we start with "0" and "1" and add them, we find the third Fibonacci number, which is 1(i.e., 0 + 1 = 1). Each successive number is found in the exact same manner. Therefore, the fourth number would be 2(i.e., 1 + 1


5. A female rabbit will always give birth to one male rabbit and one female rabbit.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89......

= 2) and the fifth number would be 3(i.e., 1 + 2 + 3). The Sequence will then continue in this manner...

In the year 1202, Fibonacci became interested in the reproduction of rabbits. He created an imaginary set of ideal conditions under which rabbits could breed, and posed the question, "How many pairs of rabbits will there be a year from now?". The ideal set of conditions was as follows:

1. You begin with one male and one female rabbit. These rabbits have just been born.

Month 1 - After one month, the two rabbits have mated but have not yet given birth. Therefore, there is still only one pair of rabbits.

Month 0 - At the beginning of the experiment, there is one pair of rabbits (condition #1)

This birth rate continues for each month, equalling the Fibonacci Sequence.



Some common words found in the essay are:
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Approximate Word count = 1172
Approximate Pages = 5 (250 words per page double spaced)


  

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