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Fibonacci Sequence 4


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Fibonacci Sequence 4

  1. 1. FIBONACCI Sierra de Santa Barbara high school 2ºB Laura, Alicia, Rebeca and Maria
  2. 2. The Fibonacci Sequence The fibonacci sequence is named after Leonardo Fibonacci. His 1202 books Liber Abaci introduced the sequence to Western European mathematics. In mathematics, the Fibonacci numbers or the Fibonacci sequence are the following: 0,1,1,2,3,5,8,13,21,34,55,89,144,... DEFINITION The first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, and each subsequent number is the sum of the previous two. 0+1=1;1+1=2;1+2=3;2+3=5;3+5=8;...
  3. 3. Leonardo de Pisa Leonardo de Pisa, known as Fibonacci, was an italian mathematician. Fibonacci is best known because of the Hindu- arabic numeral system, his composition of Liber Abaci (book of calculation), and the Fibonacci sequence. FIBONACCI The sequence of Fibonacci appears everywhere, in flowers, in the human body (in fingers) in fruits ... We are going to talk about the relation between the Fibonacci sequence and the fingers . THE FINGERS OF A HAND
  4. 4. Fibonacci sequence in the fingers Knuckles Palm Fingers Phalanxes
  5. 5. Explanation The Fibonacci sequence in fingers develops in this way: 1 palm +2 knuckles = 3 phalanxes 2 knuckles + 3 phalanxes =5 fingers And this is the same as the fibonacci sequence: 0,1,1,2,3,5,8,13…... + = 1 2 3 + = 2 3 5 knuckles palm phalanxes knuckles phalanxes fingers
  6. 6. Summary of ‘Rabbits,Rabbits,Everywhere’ The book is about a village called Chee. In this village live the Pied Piper and Amanda, who are the main characters of the book. The Pied Piper, with a group of people, carries food to the wizard, but one day the Pied Piper gets tired of carrying food to the wizard, so the wizard gets angry with the village. The wizard casts a spell and the village gets full of rabbits. Amanda knows that the growing number of rabbits has a code, and it is the Fibonacci sequence. When she knows this sequence she goes to the wizard's house and she tells him that she has guessed the code of the rabbits. So the wizard gives Amanda a magic flute. This way, Amanda takes the rabbits out of the village.
  7. 7. Leonardo de Pisa’s biography Guglielmo’s surname (Guillermo), father of Leonardo, was Bonacci. Leonardo was called, posthumously, Fibonacci for being “filius Bonacci” (son of Bonacci.) Guglielmo was directing a position (place) of trade in Bugía, in the north of Africa (today Bejaia, Algeria) According to some versions he was the consul of Pisa and with his child Leonardo, he travelled to help there. There he learned the system of Arabic numbers.
  8. 8. CONCLUSION We think that this sequence is amazing because Fibonacci discovered it is everywhere, wherever you look you see things that have the Fibonacci sequence.