2013 AMC8 Problem 3

bridge

Member
What is the value of $$4 \cdot (-1+2-3+4-5+6-7+\cdots+1000)$$?

$$\textbf{(A)}\ -10 \qquad \textbf{(B)}\ 0 \qquad \textbf{(C)}\ 1 \qquad \textbf{(D)}\ 500 \qquad \textbf{(E)}\ 2000$$