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MathNet 2010 — Part 06 Question 121

Math Olympiad Vault · MathNet 2010 — Part 06

Question 121

$n \ge 5$ real numbers are written in a row. It turns out, that sum of any three consecutive numbers is positive and sum of any five consecutive numbers is negative. Find the largest $n$ for which it is possible?

**Answer:** $n = 6$.