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Official 2023 Paper 1 · Q4

Paper 1TrigonometrySequences & series

Evaluate

∑n=0∞sin⁡(nπ+π3)2n.\sum_{n=0}^{\infty}\frac{\sin\left(n\pi+\frac\pi3\right)}{2^n}.
A00
B13\frac13
C33\frac{\sqrt3}3
D3\sqrt3
E33

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