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Recurrence Relationseasy
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Given the coupled system un=2un−1−vn−1u_n = 2u_{n-1} - v_{n-1}un​=2un−1​−vn−1​ and vn=un−1v_n = u_{n-1}vn​=un−1​ with initial conditions u0=3u_0 = 3u0​=3 and v0=1v_0 = 1v0​=1, find u2u_2u2​.