posed that every month each pair begets a new pair which from the second month on becomes productive? I will now give the answer to the problem, which I discovered in the Mathematics Encyclopedia. It is easy to see that 1 pair will be produced the first month, and 1 pair also in the second month (since the new pair produced in the first month is not yet mature), and in the third month 2 pairs will be produced, one by the original pair and one by the pair which was produced in the first month. In the fourth month 3 pairs will be produced, and in the fifth month 5 pairs. After this things expand rapidly, and we get the following sequence of numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 235, This is an example of recursive sequence, obeying the simple rule that two calculate the next term one simply sums the preceding two. Thus 1 and 1 are 2, 1 and 2 are 3, 2 and 3 are 5, and so on. (page 1)IIIConclusionConclusion Leonardo Fibonacci was a mathematical genius of his time. His findings have contributed to the methods of mathematics that are still in use today. His mathematical influence continues to be evident by such mediums as the Fibonacci Quarterly and the numerous internet sites discussing his contributions. Many colleges offer classes that are devoted to the Fibonacci methods. Leonardos dedication to his love of mathematics rightfully earned him a respectable place in world history. A statue of him stands today in Pisa, Italy near the famous Leaning Tower. It is a commemorative symbol that signifies the respect and gratitude that Italy endures toward him. Many of Leonardos methods will continue to be taught for generations to come.Works CitedDr. Ron KnottFibonaccis Mathematical ContributionsMarch 6, 1998www.ee.surrey.ac.uk/personal/R.Knott/Fibonacci/fibBio.html (Feb. 10, 1999)Mathematics Encyclopediawww.mathacademy.com/platonic_realms/encyclop/articles/fibonac.html (March 23, 1999)...
