(1-2)(2-3)(3-4)...(2002-2003)

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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-

(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

2+2+3+4+1 1+2+3+4×2 1 2 3 4 1 2 3 4 1 2 3 4 1,2,3,4, 1 2 3 4 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1,2,3,4, 1 2 3 4 1,2,3,4, 1,2,3,4, 1,2,3,4, 1、2、3、4 1+2+3×4