The ratio Fib(n+1) Fib n as n gets larger is said to approach the Golden Ratio, which is Fib n approximately equal to 1.618. What happens to the inverse of this ratio, - Fib (n+1) What does this quantity approach? How does this compare to the original ratio?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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ACTIVITY 3: Analyze and answer each question with brief explanation.
1.
2.
3.
Fib n
The ratio Fib(n+1) as n gets larger is said to approach the Golden Ratio, which is
approximately equal to 1.618. What happens to the inverse of this ratio, Fin
What does this quantity approach? How does this compare to the original ratio?
Fib (n+1)
Without looking at the sequence, what is F15 if F14 is 377? Explain and show your
solution.
Without adding, find the sum of the first 15 terms of the Fibonacci sequence.
Explain and show your solution.
Transcribed Image Text:ACTIVITY 3: Analyze and answer each question with brief explanation. 1. 2. 3. Fib n The ratio Fib(n+1) as n gets larger is said to approach the Golden Ratio, which is approximately equal to 1.618. What happens to the inverse of this ratio, Fin What does this quantity approach? How does this compare to the original ratio? Fib (n+1) Without looking at the sequence, what is F15 if F14 is 377? Explain and show your solution. Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your solution.
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