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MathNet 2026 — Part 02 Question 45

Math Olympiad Vault · MathNet 2026 — Part 02

Question 45

Determine the minimum term of the sequence $$
\sqrt{\frac{7}{6}}+\sqrt{\frac{96}{7}}, \sqrt{\frac{8}{6}}+\sqrt{\frac{96}{8}}, \sqrt{\frac{9}{6}}+\sqrt{\frac{96}{9}}, \ldots, \sqrt{\frac{95}{6}}+\sqrt{\frac{96}{95}}
$$