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MathNet 2024-part-06 — 165 problems (EN–VI) Question 109

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 109

Compute
$$
\frac{2+3+\cdots+100}{1}+\frac{3+4+\cdots+100}{1+2}+\cdots+\frac{100}{1+2+\cdots+99} .
$$