# Fibonacci Series

by
**Pablo1999**

Last updated 8 years ago

** Discipline: **

Math ** Subject: **

Algebra I

Fibonacci Series

Leonardo Fibonacci was born around 1175 in Pisa, Italy. Leonardo’s father, Guglielmo Bonacci was a customs officer in the North African City of Bugia and a secretary for the Republic of Pisa. Fibonacci was educated with a North African education under the Moors. Around 1192 Fibonacci moved to Bugia with his father. His father wanted him to be a merchant.So he started to travel. In his travels he met Hindu-Arabic merchants, where he started to learn their systems of arithmetic. Approximately in 1200 Leonardo returned to Pisa and became the greatest European mathematician of the Middle Ages. Fibonacci wrote several books. He died in Pisa, approximately in 1240.

My full name was Leonardo Pisano Bigollo. But I was also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bigollo, or Leonardo Fibonacci. Fibonacci is divided in two words, fi-bonacci. Fi means the Golden Ratio and Bonacci was his real last name.

The Fibonacci Series are a sequence of numbers, first discovered by Leonardo Fibonacci. In this series, each number is the sum of the two previous numbers. The first two numbers in the series are 1 and 1. Fibonacci became interested in rabbits and a man placed a pair of rabbits in a closed place. Then he asked, How many pairs of rabbits will there be a year from now? Fibonacci, working in the problem discovered a series of numbers. The Fibonacci Series.

In the Series each number is the sum of its past two numbers. That is how you get each term.1+1=21+2=32+3=53+5=85+8=1313+8=21etc.

Pablo Llaguno #14 7B Due Date: December 7, 2012

The Golden Ratio is closely related with the Fibonacci Series. The Golden Ratio is a ratio or proportion defined by the number Phi. Phi equals 1.618033988749895… It’s symbol is the greek letter phi. It also is the lengths of two sides of any Golden Rectangle. Example of usage: “If you divide a line into two parts so that: the longer part divided by the smaller part is also equal to the whole length divided by the longer part then you will have the golden ratio.” The golden ratio is used in many things. For example, architecture, art, and nature. There is a strong relationship with the Fibonacci Series. When taking one fibonacci number and the one after it their ratio is really close to the Golden ratio.

The Golden Ratio is also known as golden section, golden mean, golden number, divine proportion, divine section, and golden proportion.

Golden Ratio Symbol(Greek letter phi)

The Parthenon in Greece was made with the Golden Ratio.

Leonardo da Vinci's "The Last Supper" was painted according to the Golden Ratio.

Notre Dame in Paris was designed using the Golden Ratio.

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