# The Fibonacci Sequence

by on September 7, 2011

Like all sequences, the Fibonacci sequence is a list of numbers arranged in a particular order. Here’s the sequence:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, and so on.

How do you get all these numbers? It goes like this:

You add the first two numbers, 0 and 1, to make 1

Then you add the previous two numbers, 1 + 1, to make 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

8 + 5 = 13, and so on.

Who is the Fibonacci sequence named after? It’s named after a mathematician called Leonardo da Pisa. Leonardo da Pisa was better known as Fibonacci, which in Latin translates to “son of Bonaccio”.

The Fibonacci sequence is also found in nature. Spirals like a shell of this animal has the same spiral as the Fibonacci spiral. A Fibonacci spiral is a spiral created using numbers in the Fibonacci sequence. First you make a box the size of 1 unit (you can use cm or inches). Then you make another box next to the first box the size of the next Fibonacci number, 1.  Then you make another box next to the box before using the size of 2 (that is the next Fibonacci number). Continue making boxes and then draw a spiral using the boxes as guidelines.

Bibliography

Pictures:

http://dooleymath.com/Algebra/Videos/Fibonacci%20Spiral/nautilushell.jpg

http://bobsleanlearning.files.wordpress.com/2011/04/fibonacci-spiral.gif?w=381&h=240

Information:

http://www.brainpop.com/math/numbersandoperations/fibonaccisequence/

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