|1/2004-1/2003|+|1/2002-1/2003|+.+|1/2-1|等于多少 |1/2004-1/2003
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|1/2004-1/2003|+|1/2002-1/2003|+.+|1/2-1|等于多少 |1/2004-1/2003|+|1/2002
![|1/2004-1/2003|+|1/2002-1/2003|+.+|1/2-1|等于多少 |1/2004-1/2003](/uploads/image/z/8407479-39-9.jpg?t=%7C1%2F2004-1%2F2003%7C%2B%7C1%2F2002-1%2F2003%7C%2B.%2B%7C1%2F2-1%7C%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91+%7C1%2F2004-1%2F2003)
|1/2004-1/2003|+|1/2002-1/2003|+.+|1/2-1|
=|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2003-1/2002|+|1/2004-1/2003|
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2002-1/2003)+(1/2003-1/2004)
=1-1/2004
=2003/2004
=|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2003-1/2002|+|1/2004-1/2003|
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2002-1/2003)+(1/2003-1/2004)
=1-1/2004
=2003/2004