Answers for Chapter 7 Sample Problems

 

2. A program to get the Fibonacci numbers


3. The Fibonacci ratios:

The graph of the Fibonacci ratios:

The number this infinite sequence approaches is The Golden Mean or The Divine Proportion. It is an irrational number and the positive solution of the quadratic equation x2-x-1=0, which is (1+Sqrt(5))/2, about 1.618034. The Greek letter 'phi' (see below for the symbol) is sometimes used to represent this number.
2. The regular pentagon

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