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MathNet 2008-part-03 — 165 problems (EN–VI) Question 2

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 2

Find the value of $y$ so that $\sqrt{y^2 + 2y + 1}$, $\frac{y^2 + 3y - 1}{3}$, $y-1$ are consecutive terms in the arithmetic progression.