PPT-Fibonacci Numbers

F n F n1 F n2 F 0 0 F 1 1 0 1 1 2 3 5 8 13 21 34 Straightforward recursive procedure is slow Why How slow Lets draw the recursion tree Fibonacci Numbers 2. Dr. Cynthia Bailey Lee. Dr. . Shachar. Lovett. .  .                          . Peer Instruction in Discrete Mathematics by . Cynthia . Lee. is. licensed under a . Creative Commons Attribution-. Numbers. Damian Gordon. Fibonacci . Numbers. Fibonacci . Numbers. As seen in the Da Vinci Code:. Fibonacci . Numbers. The . Fibonacci . numbers are numbers where the next number in the sequence is the sum of the previous two.. DOTS AND DASHES. James . Tanton. MAA Mathematician-at-Large. jtanton@maa.org. Curriculum Inspirations: . www.maa.org/ci. Mathematical Stuff: . www.jamestanton.com. Mathematical Courses: . www.gdaymath.com. Fibonacci. . numbers. The . Fibonacci. . Numbers. :. 1, 1, 2, 3, 5, 8, 13, 21, 34. a, a, (. a+a. ), a+(. a+a. ), (. a+a. ) + (. a+a+a. ) etc.. Term = . sum. of 2 . preceding. terms. = GOLDEN RATIO. b.wikkerink@csgliudger.nl. Programming. a strategy game. What. we do:.  . Explore a game.  . Use mathematics to find a winning strategy.  . Make a program in TI-Basic. But first . ….  . b.wikkerink@csgliudger.nl. Programming. a strategy game. What. we do:.  . Explore a game.  . Use mathematics to find a winning strategy.  . Make a program in TI-Basic. But first . ….  . Emma Stephens, Charlotte Evans, Kenneth Mcilree, Lisa Yuan. What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . What are the Fibonacci numbers?. The Fibonacci sequence is a recursively defined sequence where,. F. 1 . = 1 and F. 2 . = 1 . F. n . = F. n-1. F. n-2 . where n>2. {1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,...}. Alannah McGregor. Gudrun Mackness. Brittany Kozak. Background Information. Grades 6-7. Mathematics: patterning and algebra. Time frame: 30 min. Lesson environment. Inquiry-based exploration. Exploration of a complex number pattern that results in a sequence that is found in nature and has been translated into art. 1175 – 1250 AD. Best remembered for a problem he posed in Liber Abaci dealing with RABBITS!. The Rabbit Problem. At 2 months, the rabbits can reproduce a pair of bunnies. . How many pairs at k months?. recurrences. Lecture 27. CS2110 – Fall 2018. Fibonacci. (Leonardo Pisano) 1170-1240?. Statue in Pisa Italy. Announcements. A7: NO LATE DAYS. No need to put in time and comments. We have to grade quickly. No regrade requests for A7. Grade based only on your score on a bunch of sewer systems.. recurrences. Lecture 27. CS2110 – Fall 2018. Fibonacci. (Leonardo Pisano) 1170-1240?. Statue in Pisa Italy. Announcements. A7: NO LATE DAYS. No need to put in time and comments. We have to grade quickly. No regrade requests for A7. Grade based only on your score on a bunch of sewer systems.. Steven J Miller, Williams College (sjm1@Williams.edu). 1. https://web.williams.edu/Mathematics/sjmiller/public_html/math/talks/talks.html. Goals. Learn how to solve polynomial equations and see applications of polynomials and ways to find their roots.. Introduction to Excel. http://fairway.ecn.purdue.edu/~. step/class_material. Nomenclature. Address. Formula Bar. Row. Cell. Worksheet. Column. Formulas. Excel is a powerful program for performing complex calculations..