Magic with  Pure  Numbers:  Adding  Fibonacci  Series

1       3       5       13     Add  any  10  numbers  of  a  Fibonacci  series  (Series  which  each  number  is  the  sum  of  the   two  preceding  numbers).         7 Notice:  the  7th  number  59     3   10 13 23   36 59 95 154 249

How does this work? F (1) = a

F (2) = b

F ( n ) = F ( n − 1) + F ( n − 2 )

a b a+b a + 2b 2a + 3b 3a + 5b 5a + 8b 8a + 13b 13a + 21b 21a + 34b 55a + 88b 11(5a + 8b)

Leonardo Fibonacci  (born  1170)   recognized  that  Hindu-­‐Arabic  numerals   are  simpler  than  Roman  numerals!       His  published  book  Liber  Abaci  pushed   for  the  use  of  0-­‐9  digits  and  decimal.  It   showed  the  importance  of  the  new   numeral  system  and  impacted  European   thought.     Hindu-­‐Arabic   Numerals       1999   +  1998   -­‐-­‐-­‐-­‐-­‐-­‐   3997

Roman Numerals     MCMXCIX     +  MCMXCVIII   -­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐-­‐   =  MMMCMXCVII

Adding fibonacci series
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