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# Fibonacci Number Sequence

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The Numbers when follows a sequence like 0, 1, 1, 2, 3, 5, 8, 13, 21.........then that number sequence is known as Fibonacci number sequence or Fibonacci series or Fibonacci sequence of numbers. The Fibonacci series got its name from the name of Leonardo of Pisa a well known Italian mathematician, who was also known as Fibonacci. The Fibonacci series was first published in his book on calculation “Liber Abaci” where he introduced the decimal number system to the western world.

The Fibonacci number sequence is based on a very simple rule. According to the Fibonacci sequence of numbers if a number sequence is made up on the following rules then that number sequences are known as Fibonacci series. The rules:

Let,
F0 = first number in the series.
F1= second number in the series.
then,
F2 = F0 + F1 is the third number in the series.
F3 = F1 + F2 is the fourth number in the series.
In general,
Fn = Fn-2 + Fn-1 where ‘n’ is the term number in the Fibonacci number sequence.

It is been discovered that every Fibonacci number of the Fibonacci sequence of numbers greater than 1 has at least one prime factor that’s not a factor of any earlier Fibonacci number of the Fibonacci series except the numbers 8 and 144. The Fibonacci number sequence are studied vividly and this number sequences have great application in mathematical Sets, mathematical Permutation and mathematical sequences. It is also had a big role in the study of computer science or computer application.