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MathNet 2023-part-06 — 191 problems (EN–VI) Question 181

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 181

$n \ge 4$ real numbers are placed on the circle. It is known that for any four consecutive numbers $a, b, c, d$ that go around the circle in this specified order, the condition $a + d = b + c$ holds. For which $n$ can we conclude that all the numbers are equal?