1-3+5-7+9-11+.-2003+2005=

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1-3+5-7+9-11+.-2003+2005=1-3+5-7+9-11+.-2003+2005=1-3+5-7+9-11+.-2003+2005=1-3+5-7+9-11+.-2003+2005=

1-3+5-7+9-11+.-2003+2005=
1-3+5-7+9-11+.-2003+2005=

1-3+5-7+9-11+.-2003+2005=
1-3+5-7+9-11+.-2003+2005
=(1-3)+(5-7)+(9-11)+.(2001-2003)+2005
=-2*2004/4+2005
=2005-1002
=1003

1+2+2+........+2=1003

1-3+5-7+9-11+......-2003+2005
=(1-3)+(5-7)+(9-11)+......+(2001-2003)+2005
=(-2)乘以501+2005
=(-1002)+2005
=1003

原式=(1-3)+(5-7)+(9-11)+……+(2001-2003)+2005
=(-2)*1002+2005
= -2004+2005
=1