Practice_Q1-4 - ϕ is referred to as the golden ratio and...

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EEL 3135 Dr. Fred J. Taylor, Professor Lesson #2 Signal Representation Challenge Response The Fibonacci sequence is given by F n = F n-1 + F n-2 for the initial conditions F 0 =1 , F -1 =0. Iterating produces a discrete-time sequence of the predicted rabbit population F[n]={1,1,2,3,5,8,13,21,34, 55, …} at some counting index n. The ratio of two successive Fibonacci integers,
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Unformatted text preview: ϕ , is referred to as the golden ratio and in the limit as n →∞ , is claimed to be ϕ ~1.618033988 Theoretically, ϕ = (1+ √ 5)/2. Experimenatally, for n=10 (sufficiently large), ϕ = F 10 /F 9 = 1.618 (close enough) Examples of Fibonacci number sequences Art/Architectrue InvestiGATOR 1...
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  • Spring '08
  • ?
  • Fibonacci number, Golden ratio, Dr. Fred J. Taylor, Dr. Fred J., successive Fibonacci integers, Fibonacci number sequences
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