1-3+5-7+9-11+.+2005-2007

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1-3+5-7+9-11+.+2005-2007

1-3+5-7+9-11+.+2005-2007
1-3+5-7+9-11+.+2005-2007

1-3+5-7+9-11+.+2005-2007
1-3+5-7+9-11+.+2005-2007
=(1-3)+(5-7)+...+(2005-2007)
=(-2)+(-2)+...+(-2)
=(-2)*502
=-1004

-2-2-2..-2=-1004

每两项之和为-2
原式总共有2007+1/2=1004项
每两个一组,就是502项
502*(-2)=-1004

-2006

=1+5+9+13+...+2005
-3-7-11-15-...-2007
=-2-2-2-2-....-2
=(-2)*502
=-1004

=(1-3)+(5-7)+(9-11)......+(2005-2007)
=-2x{[(2007-1)/2+1]/2}
=-2x502
=-1004

(2005-1)/4=501
(501+1)*(-2)=-1004

=-1004