2x4/1+4x6/1+6x8/1+...+2006x2008/1=?
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![2x4/1+4x6/1+6x8/1+...+2006x2008/1=?](/uploads/image/z/1266050-2-0.jpg?t=2x4%2F1%2B4x6%2F1%2B6x8%2F1%2B...%2B2006x2008%2F1%3D%3F)
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2x4/1+4x6/1+6x8/1+...+2006x2008/1=?
2x4/1+4x6/1+6x8/1+...+2006x2008/1=?
2x4/1+4x6/1+6x8/1+...+2006x2008/1=?
1/2X4+1/4X6+1/6X8+...+1/2006X2008=1/2(1/2-1/4+1/4-1/8+1/8-1/16+...+1/2006-2008)
=1/2(1/2-1/2008)=1003/(1004*4)