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FeDeX_LaTeX

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## Main Question or Discussion Point

Prove that:

[tex]F_{n} = \frac {\varphi^n - (1-\varphi)^n}{\sqrt5}[/tex]

holds true for any number in the Fibonacci Sequence.

Who can answer the fastest?

[tex]F_{n} = \frac {\varphi^n - (1-\varphi)^n}{\sqrt5}[/tex]

holds true for any number in the Fibonacci Sequence.

Who can answer the fastest?