olymmath

APMO 1995 Problem 1

  • Paper

Find all real sequences x1x_1, x2x_2, ... , x1995x_{1995} which satisfy 2√(xnx_n - n + 1) ≥ xn+1x_{n+1} - n + 1 for n = 1, 2, ... , 1994, and 2√(x1995x_{1995} - 1994) ≥ x1x_1 + 1.

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