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The "golden ratio" is the limit of the ratio between consecutive terms of the Fibonacci series.

That means that when you take two consecutive terms out of your Fibonacci series and divide them,

the quotient is near the golden ratio, and the longer the piece of the Fibonacci series is that you use,

the nearer the quotient is. The Fibonacci series has the property that it converges quickly, so even if

you only look at the quotient of, say, the 9th and 10th terms, you're already going to be darn close.

The exact value of the golden ratio is [1 + sqrt(5)]/2

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Q: What is the relationship between the golden ratio and the standard Fibonacci sequence?
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