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

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Presentation on theme: "The Fibonacci Sequence. Leonardo Fibonacci (1170 – 1250) First from the West, but lots of evidence from before his time."— Presentation transcript:

1 The Fibonacci Sequence

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

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

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

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

6 The Fibonacci Sequence We find a ratio that is approximately 1.61803399 This is known as the GOLDEN Ratio

7 The Fibonacci Sequence This ratio can be found in nature…

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10 The Golden Rectangle

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13 The Fibonacci Sequence This ratio can be found in art…

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17 And many other places…


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