Transcript Fibonacci Sequence

Fibonacci Sequence
by
Lydia Bliven & Ethel Jones
Leonardo Pisano Fibonacci
of Pisa, Italy
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Born 1170
Died 1250
Educated in North
Africa
Traveled around
Mediteranean
countries
Fibonacci the Mathematician
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Published mathematics textbook
Liber Abaci (The Book of
Calculating) in 1202
Introduced the Hindu-Arabic
place-valued decimal system and
the use of Arabic numerals to
Europe
Rabbit Problem
A certain man put a pair of rabbits in a place
surrounded on all sides by a wall. If
rabbits take a month to become mature
and then produce a new pair every month
after that, how many pairs of rabbits will
there be in twelve months time?
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from Fibonnaci’s book Liber abaci
The Fibonacci Sequence
1 1 2 3 5 8 13 21
34 55 89 184 273…
The Fibonacci Sequence
is formed by adding the latest two numbers to get the
next one, starting from 0 and 1:
0 1 --the series starts like this.
0+1=1 so the series is now
011
1+1=2 so the series continues...
0 1 1 2 and the next term is
1+2=3 so we now have
0 1 1 2 3 and it continues as follows ...
1 1 2 3 5 8 13 21 34 55 89 184 273…
Fibonacci in Nature
Flowers
3 brown carpals, 5 green
stamens, 2 sets of 5 green
55 spirals to right, 34 spirals
towards center
Fibonacci in Nature
Vegetables & Fruits
Fibonacci in Nature
Pinecone
The Fibonacci Sequence
1 1 2 3 5 8 13 21
34 55 89 184 273…