How do I write a program to calculate the golden section?

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I want to use Euphoria to make a fibonacci series like:
        1,2,3,5,8,13,24,37,51
Where each term is the sum of the last two terms
       As the terms get larger, the value for the golden section gets
more exact. I downloaded a program that calculates pi to any number of
digits specified. I'm looking for something like that.I examined the
code, but I couldn't figure out how I'd introduce the formula to
calculate the series.
       I'm new to Euphoria and would greatly appreciate it if anyone
could help out!
Rafael Skovron


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