The fibonnaci sequence is a mathematical formula, defined as such:
f(1) = 1
f(2) = 1
f(x>2) = f(x-1) + f(x-2)
These will lead to the sequence: 1, 1, 2, 3, 5, 8, 13, etc.
The fibonnaci sequence can also be thought of as a difference equations where the new value is derived from the previous states. This is basically a fancy way of saying the the growth of the series is dependent on the previous states. Because of this, we can use the fibonnaci sequence to approximate the Golden Ratio, which is used to describe a lot of natural growth. For an arbitrarily high value of x, f(x)/f(x-1) will produce a value close to the Golden Ratio. For example 13/8 is 1.625, which is fairly close to 1.618….
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