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The ratio of dividing the larger Fibonacci number into the smaller Fibonacci number gives you the golden ratio (1.618 to 1).

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The Golden Ratio is the number (1+sqrt(5))/2~=1.618

The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... .

Skipping the first two terms, if you divide one term in this sequence by the previous term the resulting sequence converges to the Golden Ratio:

1.0000

2.0000

1.5000

1.6667

1.6000

1.6250

1.6154

1.6190

1.6176

1.6182

1.6180

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