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The Golden ratio! 2

Algebra Level 3

If $\phi = \dfrac{1+\sqrt5}2$ , compute $\dfrac1\phi + \dfrac1{\phi^3}+ \dfrac1{\phi^5}+ \dfrac1{\phi^7} + \cdots$ .

\frac \phi2

1

\phi

\phi ^2

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by Abdelghani ßoris

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