Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ... a. Find the square of the given Fibonacci numbers above. b. Add two successive terms of the squared Fibonacci numbers above starting from the first term and the second. Then the second and the third, next the third and the fourth, and so on. For uniformity, do this up to the sixth and the seventh terms only. c. What do you observe about the sum? An on
Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ... a. Find the square of the given Fibonacci numbers above. b. Add two successive terms of the squared Fibonacci numbers above starting from the first term and the second. Then the second and the third, next the third and the fourth, and so on. For uniformity, do this up to the sixth and the seventh terms only. c. What do you observe about the sum? An on
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section11.6: The Pythagorean Theorem
Problem 3CE
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