计算:(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3

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计算:(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3
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计算:(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3
计算:(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3

计算:(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3
(2003+1/2)-(2002+1/3)+(2001+1/2)-(2000+1/3)……+(1+1/2)-1/3
=(2003-2002)+(2001-2000)+……(1-0)+(1/2-1/3)×1002
=1002+(1/6×1002)
=1002+167
=1169

原式
=(2003-2002+2001-2000+.....+3-2+1-0)+1/2-1/3+1/2-....+1/2-1/3
=1002+1/2*1002-1/3*1002
=1002+501334
=1169

=(2003-2002)+(2001-2000)+……(1-0)+(1/2-1/3)×1002
=1002+(1/6×1002)
=1002+167
=1169