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Fibonacci numbers

The Fibonacci numbers form a sequence, where every term is the sum of both previous terms

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

 


Explanation

Processes of natural growth often develop according this series. After the 0 and 1, the further development is

 0 + 1 = 1
     1 + 1 = 2
         1 + 2 = 3
             2 + 3 = 5
                 3 + 5 = 8
                     5 + 8 = 13
                         8 + 13 = 21
                             13 + 21 = 34
                                  21 + 34 = 55
                                       34 + 55 = 89
                                            55 + 89 = 144 

 


History

Leonardo of Pisa (1180 - 1241), also known as Fibonacci, described it after examining fast-growing populations in the animal world. He is not the inventor, as the series was known already for many centuries in China and India.


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