(1-2)(2-3)(3-4)...(2002-2003)
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![(1-2)(2-3)(3-4)...(2002-2003)](/uploads/image/z/634661-53-1.jpg?t=%281-2%29%282-3%29%283-4%29...%282002-2003%29)
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(1-2)(2-3)(3-4)...(2002-2003)
(1-2)(2-3)(3-4)...(2002-2003)
(1-2)(2-3)(3-4)...(2002-2003)
(1-2)(2-3)(3-4)...(2002-2003)
=-1*-1*.-1
(总共有1001)个
=-1
1-2=-1
2-3=-1……
共有2002个-1
(1-2)(2-3)(3-4)...(2002-2003)=(-1)^2002=1