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Sigma sin

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Diberikan bilangan bulat positif $n\geq 2$. Evaluasi hasil penjumlahan $$\sum\limits_{k=0}^{n-1} \frac{1}{1+8 \sin^2{(\frac{k\pi}{n})}}$$

 

Tes 4 Nomor 3 Pelatnas Tahap 3 IMO 2016

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