Fibonacci Sequence 1


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Fibonacci Sequence 1

  1. 1. Rabbits, Rabbits Everywhere Laura Estévez, Ana Díaz, Adriana Jaén and Daniel Paniagua.
  3. 3. INDEX ● Summary ● Fibonacci’s biography ● Explanation of Fibonacci sequence ● Rabbits explanation ● Practical explanations ● Flowers ● Conclusion ● Bibliography
  4. 4. SUMMARY The book tells the story of the town of Chee,where the Pied Piper settled after he got the rats out of Hamelin. The town of Chee is protected by a wizard and in exchange for this protection the villagers give him food. One day,the piper decides not to give food to the wizard any more, instead he wants to keep it for himself.The next day , 1 pair of rabbits Knot and Fibb show up in the village fields.
  5. 5. The next day , they have a pair of babies.The day after that , they have another pair of babies and the first pair are adults.The next day there are 5 pairs of rabbits ; the next 8 ; the next 13 ; and so on , until there are so many rabbits that they’re eating all the town's vegetables.
  6. 6. The piper tries to pipe the rabbits away , but he fails.While he’s doing that , one little girl figures out the pattern of how many rabbits there are by drawing it out in a triangle on the ground.The girl goes to the wizard to ask him to help the town before they starve , and shows him that she’s figured out the pattern.
  7. 7. He replies that by understanding the pattern, she can solve the problem: recognizing patterns gives you a way to figure out to solve them.And he gives her a flute which she can use to lead the rabbits away from the town.
  8. 8. FIBONACCI Leonardo Pisano Bigollo(1170-1250) known as Fibonacci, and also Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci was an Italian mathematician, considered by some “the most talented western mathematician of the Middle Ages”.
  9. 9. FIBONACCI Fibonacci is best known to the modern world for the spreading of the hindu-Arabic numeral system in Europe, primary through his composition in 1202 of Liber Abaci (Book of Calculation), and for a number sequence named the Fibonacci numbers after him, which he did not discover but used as an example in the Liber Abaci.
  10. 10. EXPLANATION OF THE SEQUENCE The Fibonacci sequence is a very interesting sequence of numbers. It starts with the numbers 0 and 1, and then each number is the sum of the other two ones before it. Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...
  11. 11. EXPLANATION OF THE RABBITS We are going to explain the sequence of the rabbits.
  12. 12. BEGINNING AND MONTH ONE At the beginning of the year we only have one pair of rabbits. After the first month, the rabbits haven’t got any baby rabbits, so we only have one pair
  13. 13. MONTH TWO AND THREE After two months, the pair of rabbits have another pair of baby rabbits. So, we have two pairs of rabbits. After three months, the first pair and the second pair have different pairs, so we have three pairs.
  14. 14. MONTH FOUR AND FIVE After four months, the tree pairs have differents babies and we have five pairs After five months, all the pairs have another pairs of rabbits and after the five months we have eight pairs. At the end of the year we have 144 pairs.
  15. 15. DAISY What can you see if you look carefully at a daisy are spirals , running both clockwise and anticlockwise.If you count the number of spirals in either direction you will find that the total is not any number , but a sequence: 1,1,2,3,5,8,13… , where the three dots indicate that the series continues indefinitely.
  16. 16. SUNFLOWER The Fibonacci sequence appears in many places, for example the sunflower. The centre of the sunflower is formed by spirals. These spirals go from the middle to the right and from the middle to the left.
  17. 17. There are 21 spirals that go from the middle to the right and 34 from the middle to the left. These two numbers are in the Fibonacci sequence and that’s why the sunflower is related to it.
  18. 18. CONCLUSION For this project we have read a book about the sequence of Fibonacci and we have learned different things: ● The Fibonacci sequence ● Who was Fibonacci ● That the Fibonacci sequence is in many things, especially in flowers ● How the rabbits reproduce
  19. 19. BIBLIOGRAPHY -Wikipedia -”Rabbits Rabbits Everywhere” -Google images
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