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1. The Fibonacci sequence has many unusual properties. Experiment to decide which of the following properties are valid. Note: F represents the nth Fibonacci number. a. 3F, - Fn2 = Farz for n23 %3! b. FNFN+3 = Fn+1Fn+2 c. F3n is an even number

1. The Fibonacci sequence has many unusual properties. Experiment to decide which of the following properties are valid. Note: F represents the nth Fibonacci number. a. 3F, - Fn2 = Farz for n23 %3! b. FNFN+3 = Fn+1Fn+2 c. F3n is an even number

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show the complete solution. As for letter c make it as F sub 3.
1. The Fibonacci sequence has many unusual properties. Experiment to decide which of the following properties are valid. Note: F represents the nth Fibonacci number. a. 3F, - Fn2 = Fo+2 for n 23 !3! b. FnFn+3 = Fn+1Fn+2 c. F3n is an even number
Transcribed Image Text:1. The Fibonacci sequence has many unusual properties. Experiment to decide which of the following properties are valid. Note: F represents the nth Fibonacci number. a. 3F, - Fn2 = Fo+2 for n 23 !3! b. FnFn+3 = Fn+1Fn+2 c. F3n is an even number
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