Fibonacci Sequence - Math2ever | place to learn basic mathematics

Fibonacci Sequence - Math2ever | place to learn basic mathematics


Fibonacci Sequence

Posted: 28 Sep 2014 03:13 AM PDT

Fibonacci Sequence


Fibonacci Sequence

Posted: 27 Sep 2014 10:29 AM PDT

The Fibonacci Series is 0,1,1,2,3,5,8,13,21,34,55,......



This Series is generated by adding two number before it :
for example :
5 is found by adding two numbers before it that is 2+3.
Similarly 8 is found by adding two numbers before it that is 5+3.
and so on..

The Fibonacci Sequence can be written as a rule such as
 Xn=Xn-1 + Xn-2
For example : Xn-1=21 and Xn-2=13 Therefore Xn becomes 34.

When we  make a square as shown below we get a Spiral shape :




Golden ratio : If we take two successive number Fibonacci number we get a known as Golden Ration which has the approximate value as  1.61803399....
Bigger the pair of Fibonacci Numbers, the closer the approximation.

The symbol for Golden ration is φ (phi).


Fibonacci in Nature: 

The Fibonacci appears in the smallest, to the largest objects in nature. It is a way for information to flow in a very efficient manner.
some of the images below shows the Fibonacci sequence in Nature


Fibonacci sequence in Cancer Cell Division




Fibonacci sequence in Galaxy

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