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MathNet 2002 — Part 02 Question 56

Math Olympiad Vault · MathNet 2002 — Part 02

Question 56

Determine the value of
$$
1 \cdot 2 - 2 \cdot 3 + 3 \cdot 4 - 4 \cdot 5 + \cdots + 2001 \cdot 2002.
$$