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2015 again

Algebra Level 3

Let \(x\) be a non-real number that satisfy the equation \(x^{4}=1\). Find the value of \(\displaystyle \sum_{n=0}^{2015} \left (x^{n}+\frac{1}{x^{n}} \right)\).

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by Hjalmar Orellana Soto

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