olymmath

HMMT 2002 U59

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Determine the value of

1⋅2−2⋅3+3⋅4−4⋅5+⋯+2001⋅2002.1 \cdot 2-2 \cdot 3+3 \cdot 4-4 \cdot 5+\cdots+2001 \cdot 2002 .

Dataset text NuminaMath olympiads. Quoted with source.

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2004002

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