Adding fibonacci series

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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


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