### 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.

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

X

For example : X

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

Bigger the pair of Fibonacci Numbers, the closer the approximation.

The symbol for Golden ration is

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

X

_{n}=X_{n-1}+ X_{n-2}For example : X

_{n-1}=21 and X_{n-2}=13 Therefore X_{n}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**