{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lesson_21

Lesson_21 - The ratio of two successive Fibonacci integers...

This preview shows page 1. Sign up to view the full content.

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.
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The ratio of two successive Fibonacci integers, ϕ , is referred to as the golden ratio and in the limit as n →∞ , is claimed to be ϕ ~1.618033988 Explicitly, for n=10 (sufficiently large), ϕ = F 10 /F 9 = 1.618 (close enough) Examples of Fibonacci number sequences InvestiGATOR 1...
View Full Document

• Spring '08
• ?
• Fibonacci number, Golden ratio, Dr. Fred J. Taylor, Dr. Fred J., successive Fibonacci integers, Fibonacci number sequences

{[ snackBarMessage ]}