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Omni-MATH / For each integer n≥2, determine the largest real constant C_(n) such that for all positive real numbers a₁,…,a_(n) we have (a₁²+…+a_(n)²)/(n)≥((a₁+…+a_(n))/(n))²+C_(n)⋅(a₁−a_(n))². · Discussion

Discussing For each integer n≥2, determine the largest real constant C_(n) such that for all positive real numbers a₁,…,a_(n) we have (a₁²+…+a_(n)²)/(n)≥((a₁+…+a_(n))/(n))²+C_(n)⋅(a₁−a_(n))². · Omni-MATH

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