|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
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![|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|](/uploads/image/z/986263-7-3.jpg?t=%7C1%2F3-1%2F2%7C%2B%7C1%2F4-1%2F3%7C%2B...%2B%7C1%2F2010-1%2F2009%7C)
x)1757L,m=== $e``YcTOZ;Lr@*!zL!:L5,"mZ]Nd&$>H~qAbș b>|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/2009-1/2010
=1/2-1/2010
=(1005-1)/2010
=1004/2010
=502/1005