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MathNet 2026 — Part 07 Question 142

Math Olympiad Vault · MathNet 2026 — Part 07

Question 142

Find the sum of
$$
\frac{1}{2 \times 5}+\frac{1}{5 \times 8}+\frac{1}{8 \times 11}+\cdots+\frac{1}{2009 \times 2012}
$$
  1. $\frac{335}{2012}$
  2. $\frac{545}{2012}$
  3. $\frac{865}{2012}$
  4. $\frac{1005}{2012}$