计算:{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}请列出过程,并说明分析
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![计算:{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}请列出过程,并说明分析](/uploads/image/z/312350-14-0.jpg?t=%E8%AE%A1%E7%AE%97%3A%7B1%5C2005-1%2F2004%7D%2B%7B1%2F2004-1%5C2003%7D%2B%7B1%2F2003-1%2F2002%7D%2B%E2%80%A6%E2%80%A6%2B%7B1%2F3-1%2F2%7D%2B%7B1%2F2-1%7D%E8%AF%B7%E5%88%97%E5%87%BA%E8%BF%87%E7%A8%8B%2C%E5%B9%B6%E8%AF%B4%E6%98%8E%E5%88%86%E6%9E%90)
计算:{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}请列出过程,并说明分析
计算:{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}
请列出过程,并说明分析
计算:{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}请列出过程,并说明分析
{1\2005-1/2004}+{1/2004-1\2003}+{1/2003-1/2002}+……+{1/3-1/2}+{1/2-1}
=1/2005+(-1/2004+1/2004)+(-1/2003+1/2003)+...+(-1/2+1/2)-1
=1/2005-1
=-2004/2005