The Fibonacci Sequence. Leonardo Fibonacci (1170 – 1250) First from the West, but lots of evidence from before his time.

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Presentation transcript:

The Fibonacci Sequence

Leonardo Fibonacci (1170 – 1250) First from the West, but lots of evidence from before his time

The Fibonacci Sequence 1, 1, 2, 3, 5, 8, 13, … The current term is found by adding the previous two

The Fibonacci Sequence Originated from a question he had about rabbit population

The Fibonacci Sequence What’s special about it? If we continue the sequence… and take the limit of the ratio to infinity…

The Fibonacci Sequence We find a ratio that is approximately This is known as the GOLDEN Ratio

The Fibonacci Sequence This ratio can be found in nature…

The Golden Rectangle

The Fibonacci Sequence This ratio can be found in art…

And many other places…