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# An Analysis of the Fibonacci Sequence

The math project topic Eddy and I have chosen is the Fibonacci Sequence and its 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 its 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 Fibonaccis 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 1ie 0 1 1 Each successive number is found in the exact same manner Therefore the fourth number would be 2ie 1 1 2 and the fifth number would be 3ie 1 2 3 The Sequence will then continue in this manner 0 1 1 2 3 5 8 13 21 34 55 89 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 2 A rabbit will reach sexual

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