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

问题描述:

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