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MathNet 2002 — Part 02 Question 72

Math Olympiad Vault · MathNet 2002 — Part 02

Question 72

$$
\frac{3}{1^{2} \cdot 2^{2}}+\frac{5}{2^{2} \cdot 3^{2}}+\frac{7}{3^{2} \cdot 4^{2}}+\cdots+\frac{29}{14^{2} \cdot 15^{2}}.
$$