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Wednesday, February 5, 2014

Investigating Fibonacci Numbers

INVESTIGATING FIBONACCI NUMBERS Around 800 eld ago da Vinci Pisano (1180-1240) – the Italian mathematician better known as Fibonacci discovered the composition of come. This grade created a very interesting pattern. The instalment begins with numbers game game 1,1,2,3,5,8,13…and continues indefinitely. severally number received by adding the stick up two digits to conkher. A rectangle with a length and width of some(prenominal) of two numbers of this successiveness forms a ‘Golden Rectangle’- a complete(a) rectangle. If we wipe out the perfect rectangle and brake it down into the squ nuclear number 18s based on Fibonacci numbers and divide for each one with an arch, the pattern forms into the shape and we go out be adapted to see the Fibonacci Spiral. It is important where we can find it. We will paying back for example the sunflower – its seeds atomic number 18 in perfect whorl shape, same as with pineapple. The p erfect example is a shout out with it’s spiral pattern or as waves move through the ocean, they curves into the form of the spiral that can be mathematically diagrammed with a point of 1,1,2,3,5,8,13,21,34 and 55. But the grates example of this erect above our heads. In average of 1000000 light eld across even the galaxies above us are acquire same design as a tiny sheath is formed, and all these based on Fibonacci sequence. Now using the Fibonacci sequence we have to find out how many agrees of rabbits will be in one year if: A new-born equalise of rabbits (male and female), are put in the field. They’re able to mate at the age of one month so at the annul of the second month a female can get down some other(prenominal) pair of rabbits. At the end of third month, the master female produces a second pair, making three pairs on the field. At the end of the forth month, the original female produced another pair and the female born two months ag o produces the pair also, making five pairs ! and so on… So the sequence will be: 1,1,2,3,5,8,13,21,34,55,89,144,233. 233 Pairs of rabbits will be...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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