Algebra · Inequalities · Cyclic arrangements · Sums
Two hundred real numbers are written around a circle. Their total sum equals \(200\), and the sum of any three numbers standing next to one another on the circle is at most \(3\).
Is it possible for all of this to hold if one of the two hundred numbers is equal to \(3\)?
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Serbian Regional Competition (Okruzno takmicenje) 2016, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source