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MathNet 2024-part-05 — 168 problems (EN–VI) Question 2

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 2

Solve the equation
$$
((((((((n - \frac{1}{2}) \cdot 2 - \frac{2}{3}) \cdot 3 - \frac{3}{4}) \cdot 4 - \frac{4}{5}) \cdot \dots) \cdot 2023 - \frac{2023}{2024}) \cdot 2024 = 1.
$$