If x+(1)/(x)=2, and f(t)={{x}^t}+(1)/({{x)^t}}, then what is ∑limits_{k=0}^{2000}{f({{2}^k})} ?
Question: If \(x+\frac{1}{x}=2\), and \(f\left( t \right)={{x}^{t}}+\frac{1}{{{x}^{t}}}\), then what is \(\sum\limits_{k=0}^{2000}{f\left( {{2}^{k}} \right)}\) ?
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Solution Format: Word Document
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