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Evaluate-k-1-n-sin-2-k-4-sin-2-k-




Question Number 211374 by York12 last updated on 07/Sep/24
Evaluate: Σ_(k=1) ^n (((sin (2^(k+4) θ))/(sin (2^k θ)))).
$$\mathrm{Evaluate}:\:\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\frac{\mathrm{sin}\:\left(\mathrm{2}^{{k}+\mathrm{4}} \theta\right)}{\mathrm{sin}\:\left(\mathrm{2}^{\mathrm{k}} \theta\right)}\right). \\ $$

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