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The Fibonacci Sequence - Online Term Paper

The Fibonacci Sequence

Fibonacci numbers make up . This sequence of numbers have been around for nearly 800 years. The sequence was formed by a brilliant mathematician in Pisa. His name was Leonardo of Pisa. (See Figure I)
Leonardo of Pisa nicked named himself Fibonacci. He was born in Pisa in 1170. He wrote many books relating to mathematics including his well known book: Liber Abaci (in English- "Book of Calculating"). In Liber Abaci, he introduced Arabic numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) into Western Culture. "He was the most productive mathematician in all the Middle Ages." (2) He discovered what is now called . Fibonacci died in 1250.
A sequence is a collection of numbers arranged in ...

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progresses. (1) The formula for Fibonacci numbers is: Fn=Fn-1. (4)
To show his sequence he often created interesting problems or stories. Probably his most famous problem is this one:
A man bought a pair of rabbits on Jan. 1st, and bred them.
The pair produced one pair of young after one month, on Feb.
1st, and a second pair after the second month, on March 1st.
Then they stopped breeding. Each new pair also produced two
new pairs in the same way and then stopped breeding. How
many rabbits did he get each month? (4)

To answer this you should write down in a line the number of pairs in each generation. (First, the first single pair. Next, the pair they produced after a month, and so on.) (See Figure II.) Since the next month both pairs had young, the next number is two. (The first generation has now stopped producing young.) Each month, only the last two generations produced, so we can get the next number by adding the last two numbers in the line: these ...

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PAPER DETAILS

Added: 3/1/2006 04:27:05 PM
Category: Miscellaneous
Type: Premium Paper
Words: 644
Pages: 3

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