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IOQM 2022 P9

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March 8, 2022
geometryIOQM

Problem Statement

Let P0=(3,1)P_0 = (3,1) and define Pn+1=(xn,yn)P_{n+1} = (x_n, y_n) for n≥0n \ge 0 by xn+1=−3xn−yn2,yn+1=−xn+yn2x_{n+1} = - \frac{3x_n - y_n}{2}, y_{n+1} = - \frac{x_n + y_n}{2}Find the area of the quadrilateral formed by the points P96,P97,P98,P99P_{96}, P_{97}, P_{98}, P_{99}.
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