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

问题描述:

计算:|1/3-1/2|+|1/4-1/3|+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

:|1/3-1/2|+|1/4-1/3|+K+|1/2004-1/2003|
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2003-1/2004
=1/2-1/2004
=1001/2004