Construct three different ratios of the whole numbers that reduce to within three hundredths of the golden ratio. Show your work and explain the steps you used to solve.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 43E
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Construct three different ratios of the whole numbers that reduce to within three hundredths of the golden ratio. Show your work and
explain the steps you used to solve.
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Transcribed Image Text:Construct three different ratios of the whole numbers that reduce to within three hundredths of the golden ratio. Show your work and explain the steps you used to solve. Use the paperclip button below to attach files. BIU
Expert Solution
Step 1

We know that ratio of two consecutive terms in Fibonacci sequence, gives the value of the golden ratio.

i.e. xn+1xn=xn+2xn+1=φ (Golden ratio)

φ=1.618... 

Fibonacci Sequence is:

0,1,1,2,3,5,8,13,21, 34, 55, 89, 144, 233, 377....

 

 

 

 

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