What is the importance Of "fibonacci Series"?

Question

Fibonacci series:
0,1,1,2,3,5,8,13....

Answer 1

Almost everything on earth follows fibonacci series.golden ratio i also derivative of this.

eg:sunflower seeds

Answer 2

Fibonacci Sequence is a form of a sequence [a{n}] where [a{n+2}] = [a{n+1}] + [a{n}] . The terms of this sequence are called as Fibonacci numbers . In a generalized Fibonacci Sequence , the sum of the first "n" terms is [a{n+2}]th term minus the second term of the series.The square of any Fibonacci number differs by 1 from the product of the two Fibonacci numbers on each side . eg:5*2-3*3=1 . 13*5-8*8=1 . Also , [a{n}] * [a{n}] + [a{n+1}] *[a{n+1}] = [a{2n+1}].For any four consecutive numbers A,B,C&D ; C*C-B*B = A*D.

Answer 3

The importance of Fibonacci series lies in the fact that many processes and objects both in Nature and man-made seem to exhibit the characteristics of Fibonacci numbers. From the proportions of the Greek Parthenon [said to be one of the most beautiful examples of architecture], to the ups and downs of the stock markets; from how the branches on a tree are arranged, to population growth patterns in rabbits or the structure of great music. All of these seem to exhibit Fibonnaci series characteristics. To see more examples of Fibonnaci in our Universe, see http://en.wikipedia.org/wiki/Fibonacci_number

Answer 4

It's another tool, and it has a number of interesting characteristics. See
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html
for some interesting facts and a ton of links to other places.


Doug

Answer 5

a basic principle of the mathmatical process