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IMO Shortlist 1969 problem 41

1969 alg shortlist sustav
(MON 2) Given reals x_0, x_1, \alpha, \beta, find an expression for the solution of the system x_{n+2} -\alpha x_{n+1} -\beta x_n = 0, \qquad n= 0, 1, 2, \ldots

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