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DK-GEORGMOHR 2013 Problem 3

    A sequence x0,x1,x2,...x_0, x_1, x_2, . . . is given by x0=8x_0 = 8 and xn+1=1+xn1−xnx_{n+1} =\frac{1 + x_n}{1- x_n} for n=0,1,2,....n = 0, 1, 2, . . . . Determine the number x2013x_{2013} .

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2013 official paper, page 1.

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