KöMaL 2023 B5350
Is it possible to find positive integers , , and such that the arithmetic mean of and is greater than the quadratic mean of and , however, the geometric mean of and is smaller than the harmonic mean of and ? Is it possible to find positive integers , , and such that the geometric mean of and is greater than the quadratic mean of and , however, the arithmetic mean of and is smaller than the harmonic mean of and ?
Official text KöMaL. Quoted with source.
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