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Let $$P_0=(3,1)$$ and define $$P_{n+1}=(x_n,y_n)$$ for $$n\geq0$$ by $$x_{n+1}=-\frac{3x_n-y_n}{2}$$, $$y_{n+1}=-\frac{x_n+y_n}{2}$$. Find the area of the quadrilateral formed by the points $$P_{96},P_{97},P_{98},P_{99}$$.
Correct Answer: e
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