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MATH / Find the number of positive integers n≥3 that have the following property: If x₁, x₂, …, x_(n) are real numbers such that x₁+x₂+…+x_(n)=0, then x₁x₂+x₂x₃+…+x_(n−1)x_(n)+x_(n)x₁≤0. · Discussion

Discussing Find the number of positive integers n≥3 that have the following property: If x₁, x₂, …, x_(n) are real numbers such that x₁+x₂+…+x_(n)=0, then x₁x₂+x₂x₃+…+x_(n−1)x_(n)+x_(n)x₁≤0. · MATH

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