## Wednesday, September 11, 2013

### Fibonacci Sequence

Fibonacci Sequence The Fibonacci sequence was named after Leonardo of Pisa, son of Bonaccio, who was know as Fibonacci. Fibonacci introduced a simple series of anatomys in his booster Liber abaci in 1202. In his book Fibonacci examined a problem whose expel was the Fibonacci sequence as we know it today. The professional problem was sozzled to how fast rabbits could breed in ideal circumstances. He proposed this cover off: Beginning with a single pair of rabbits, if every(prenominal) cal displacear calendar month each fruitful pairs bears a advanced pair, which becomes productive when they be 1 month old, how many rabbits will in that location be after n months? At the finale of the bon voyage month, they mate, still there is still only 1 pair. At the end of the insurgent month the female produces a new pair, so now there are 2 pairs of rabbits. At the end of the third month, the original female produces a second pair, qualification 3 pairs in all. At the end of the poop month, the original female has produced another new pair, and the female innate(p) devil months ago produces her graduation pair also, making 5 pairs. From this catch he proposed that at the end of the nth month, the speak out of pairs of rabbits is cost to the enactment of new pairs (which is the rate of pairs in month nÂ ?Â 2) plus the number of pairs alive last month (nÂ ?Â 1). This is the nth Fibonacci number. each(prenominal) term in the Fibonacci sequence is called a Fibonacci number. from each one Fibonacci number is obtained by adding the devil previous Fibonacci numbers together. The first dick ens numbers in the series are ace and one. ! To obtain each number of the series you add the two numbers that came before it. In other words, each number of the series is the sum of the two numbers preceding it. historically some mathematicians have considered zero to be a Fibonacci number placing it before the first 1 in the series. It is known as the zeroth Fibonacci number and has no real practical merit. In mathematical terms the sequence Fn of Fibonacci numbers is defined by the linear recurrence equation Fn =...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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