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Leonardo Fibonacci wrote about recreational mathematics, some of which involved number series such as the Fibonacci series that he is credited with discovering.
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It is said that he was modelling rabbit population when he came up with the sequence that now bears his name. The rules are simple:
1. Rabbits that are one year old are juveniles and do not breed.
2. Each pair of rabbits aged two or more produce a pair of rabbit each year (forever!).
3. No rabbits ever die (what?).
The whole process could apply to periods shorter than a year.
Year 1: One pair of rabbits aged 0.
Year 2: One pair of juvenile rabbits.
Year 3: One pair of mature rabbits + One pair offspring aged 0 = 2 pairs
Year 4: One pair mature + One pair offspring age 0 + One pair juvenile = 3 pairs
Year 5: Two pair mature + One pair offspring age 0 + One pair juvenile + one pair offspring age 0 (from the newly mature) = 5
and so on.
This model is a pretty poor descriptor for a rabbit population so I suspect it is not true. But makes an interesting exercise for young minds.
The original problem that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances.
Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on. The puzzle that Fibonacci posed was...
How many pairs will there be in one year?
- At the end of the first month, they mate, but there is still one only 1 pair.
- At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.
- At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field.
- At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs.
Source :http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html#Rabbits
By Keira ball
Leonardo Fibonacci discovered the Fibonacci sequence In the 12th century.
Leonardo Fibonacci was a well-known mathematician from Pisa in Italy. He may have developed the Fibonacci Series theory there.
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When and how is the Fibonacci Sequence used?
The Fibonacci sequence is used for many calculations in regards to nature. The Fibonacci sequence can help you determine the growth of buds on trees or the growth rate of a starfish.
How long did Fibonacci live for?
Fibonacci was a 19 cent. Italian Naturalist who first Defined the Fibonacci Sequence as a series of whole numbers where each integer is the sum of the two preceeding integers. example 1 1 2 3 5 8 13 21 34 55 etc. to infinity. All Spirals conform to the proportions defined by the Fibonacci Sequence.
What is the answer to Fibonacci's rabbit puzzle?
Depends on how many months you want it to go on...But the Fibonacci Number is1,1,2,3,5,8,13,21......You just add the last two numbers together to get the next number.The sequence starts with 0 and 1
Who discovered the fibernachi sequence?
The Fibonacci numbers are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci (a contraction of filius Bonaccio, "son of Bonaccio"). Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, as an example, although the sequence had been previously described in Indian mathematics.The Fibonacci numbers first appeared, under the name mātrāmeru (mountain of cadence), in the work of the Sanskrit grammarian Pingala (Chandah-shāstra, the Art of Prosody, 450 or 200 BC). Prosody was important in ancient Indian ritual because of an emphasis on the purity of utterance. The Indian mathematician Virahanka (6th century AD) showed how the Fibonacci sequence arose in the analysis of metres with long and short syllables. Subsequently, the Jain philosopher Hemachandra (c.1150) composed a well known text on these. A commentary on Virahanka by Gopala in the 12th c. also revisits the problem in some detail.Source:http://www.nationmaster.com/encyclopedia/Tetranacci-number
What is Leonardo Fibonacci's theory?
He invented the Finonacci number system. He figured it out after trying to work out how rabbits breed. eg: 1,1,2,3,5,8 etc. The first 2 numbers added up equals the 3rd number. 1+1=2. 2+1=3. So on and so forth. Hope i helped...
Who invented the Fibonacci number sequence?
Leonardo pision discovered the Fibonacci sequance
When was the Fibonacci sequance invented?
the Fibonacci sequence was first published by Leonardo Fibonacci in his book "Liber Abaci" in 1202.
Why is the Fibonacci sequence named after Fibonacci?
Leonardo Fibonacci discovered the number sequence which is named after him.
What are the ninth and tenth numbers in the Fibonacci sequence?
The 9th number in the Fibonacci Sequence is 34, and the 10th number in the Fibonacci sequence is 89.
Why did Fibonacci think of the Fibonacci code?
There is the Fibonacci sequence but what is the Fibonacci code?
Who was Leonardo Fibonacci?
Leonardo Fibonacci was the father and creator of the fibonacci sequence a very famous mathematic sequence
What did Leonardo Fibonacci do?
he was a mathematician that invented the sequence 1,1,2,3,5,8ect so you nearly know every thing
What is the 16th number of the Fibonacci sequence?
The 16th number of the Fibonacci sequence is 987.
What is the 20th Fibonacci number in the sequence?
The 20th Fibonacci number in the sequence is 6,765.
What is a Fibonacci sequence using 84?
The Fibonacci sequence requires two numbers as "seeds".
Is the Fibonacci Sequence named after Leonardo Fibonacci?
Yes.
How old was Fibonacci when he discovered the Fibonacci sequence?
42
