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Fibonacci Sequence - History

month rabbits pairs system

The Fibonacci sequence was invented by the Italian Leonardo Pisano Bigollo (1180-1250), who is known in mathematical history by several names: Leonardo of Pisa (Pisano means "from Pisa") and Fibonacci (which means "son of Bonacci").

Fibonacci, the son of an Italian businessman from the city of Pisa, grew up in a trading colony in North Africa during the Middle Ages. Italians were some of the western world's most proficient traders and merchants during the Middle Ages, and they needed arithmetic to keep track of their commercial transactions. Mathematical calculations were made using the Roman numeral system (I, II, III, IV, V, VI, etc.), but that system made it hard to do the addition, subtraction, multiplication, and division that merchants needed to keep track of their transactions.

While growing up in North Africa, Fibonacci learned the more efficient Hindu-Arabic system of arithmetical

TABLE 1
  Newborns (can't reproduce)   One-month-olds (can't reproduce)   Mature Pairs (can reproduce)   Total Pairs
Each number in the tablerepresents a pair of rabbits. Each pair of rabbits can only give birth after its first month of life. Beginning in the third month, the number in the "Mature pairs" column represents the number of pairs that can bear rabbits. The numbers in the "Total Pairs" column represent the Fibonacci sequence.
Month 1 1 + 0 + 0 = 1
Month 2 0 + 1 + 0 = 1
Month 3 1 + 0 + 1 = 2
Month 4 1 + 1 + 1 = 3
Month 5 2 + 1 + 2 = 5
Month 6 3 + 2 + 3 = 8
Month 7 5 + 3 + 5 = 13
Month 8 8 + 5 + 8 = 21
Month 9 13 + 8 + 13 = 34
Month 10 21 + 13 + 21 = 55


notation (1, 2, 3, 4...) from an Arab teacher. In 1202, he published his knowledge in a famous book called the Liber Abaci (which means the "book of the abacus," even though it had nothing to do with the abacus). The Liber Abaci showed how superior the Hindu-Arabic arithmetic system was to the Roman numeral system, and it showed how the Hindu-Arabic system of arithmetic could be applied to benefit Italian merchants.

The Fibonacci sequence was the outcome of a mathematical problem about rabbit breeding that was posed in the Liber Abaci. The problem was this: Beginning with a single pair of rabbits (one male and one female), how many pairs of rabbits will be born in a year, assuming that every month each male and female rabbit gives birth to a new pair of rabbits, and the new pair of rabbits itself starts giving birth to additional pairs of rabbits after the first month of their birth?

Table 1 illustrates one way of looking at Fibonacci's solution to this problem.


Fibonacci Sequence - Other Fibonacci Sequences [next]

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over 3 years ago

it was ok, i guess..
im doing my maths homework and it says find out who fibonaaci was and give 3 facts and a picture of him.


Any help??

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about 6 years ago

guy yall need to shut up and repect this gentalman and do you work about him and learn from him

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over 6 years ago

didnt help much..
why is everyone using rabbits as examples?..

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almost 5 years ago

This man was a great man but is really misunderstood and needs some people who will recognize him for his foundings even though he has been dead for a very long time.

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almost 3 years ago

Math blows !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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almost 3 years ago

i like the detail

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about 6 years ago

this is such a complicated topic im mad i have to do a 5 to 7 page essay on this.

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over 6 years ago

i have 2 do a report on this guy

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over 6 years ago

kool

:)

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almost 4 years ago

me and my friend phill have to do a powerpoint on this! got any tips? :)

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over 3 years ago

im doing a project on fractals the golden ratio and the fibonacci sequence and thi page really helped me. thank you

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almost 5 years ago

The Fibonacci Sequence is hard when u first look at it but then u get it thats what happened when my class did it

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about 6 years ago

we all know what it is all about.can some shed light as when the presence of these sequences in nature,that is the arrangement of petals , chromosomes etc was discovered

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about 6 years ago

I get the sequence and everything...but the whole bunny bizznizz is just confuuuusing =( It takes a lot of concentration to figure out the # of bunnies at the end of the year by using this problem...and concentration is sumfin that I lack ...a lot ;) xxx

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about 6 years ago

I dont understand why they used rabbits but the sequence is cool

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almost 2 years ago

Nicly summarized history of Fibonacci himself but would have liked more information on the sequence he discovered (1,1,2,3,5,8...)

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almost 3 years ago

I want you to send me a formul for fibonacci number for example:
F120=?
Im sorry for my bad english!
thanks!

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over 3 years ago

its very intresting but can't explain it properly

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almost 4 years ago

SUCK MY TITE ;D

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over 6 years ago

this is very interesting

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almost 4 years ago

do not use this site it sucks

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about 6 years ago

i have to write a 5 page paper on this...

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about 6 years ago

I understand it but why but bunnys in it

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over 2 years ago

i like trains

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almost 4 years ago

SUCK MY TITE

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almost 3 years ago

i have to do a powerpoint presentation on what fibonacci sequence and who he was where is the info could you please tell me

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over 2 years ago

i heard a single female can have 800 descendents in 9 months but even with the chart i can`t figure out the math

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over 1 year ago

a;lskdjfakdf;aldkfjkdf;akdjfklds;alksdjfkdla;klsdjf

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over 1 year ago

0,1,1,2,3,5,8,13,21,34,55,89,144,233,
377,610,987,1597 is all fibonacci numbers but this site sucks

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about 2 years ago

heyyyy

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over 1 year ago

this is a good web site