计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|.

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计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|.
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计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|.
计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|.

计算|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|.
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+K+|1/2004-1/2003|
=|1/2-1/3|+|1\3-1\4|+|1\4-\5|+k+|1\2003-1\2004|
=1\2-1\3+1\3-1\4+1\4-1\5+k+1\2003-1\2004
=1\2-1\2004
=1001\2004

原式=1/2-1/3+1/3-1/4+1/4-1/5+1/5-…+1/2003-1/2004
=1/2-1/2004
=1001/2004