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2013 AMC 8 Question 3

AMC8 · 2013 AMC 8

Question 3

What is the value of $$
\begin{aligned} &4 \cdot (-1 + 2 - 3 + 4 - 5 + 6 \\ &\qquad {}- 7 + \cdots + 1000)? \end{aligned}
$$
  1. $-10$
  2. $0$
  3. $1$
  4. $500$
  5. $2000$