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The Golden Ratio! 1

Algebra Level 3

If \( \phi = \dfrac{1+\sqrt5}2 \), compute \( \dfrac1\phi + \dfrac1{\phi^2}+ \dfrac1{\phi^3}+ \dfrac1{\phi^4} + \cdots \).

\[e\] 1 \[ \phi \] \[ \frac\phi2 \]

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by Abdelghani ßoris

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