Leonardo of Pisa

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This is an investigation into how the Fibonacci sequence gives rise to the Golden Ratio. The supporting spreadsheet allows the initial values of the sequence to be changed and an interactive graph shows that the ratio of successive terms always tends to a limit that is the Golden Ratio.

A definition of the sequence is given in terms of n. This is then used to calculate the Golden ratio. The mathematics involved includes fractions, indices and surds.

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