2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!急..

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2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!急..2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!急..2/1X2+

2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!急..
2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!
急..

2/1X2+2/2X3+2/3X4+……+2/2007X2008等于多少(需要过程)急!急..
2/1X2+2/2X3+2/3X4+……+2/2007X2008 =2X[(2-1)/1X2+(3-2)2/2X3+(4-3)/3X4+……+(2008-2007)/2007X2008] =2X(1-1/2+1/2-1/3+1/3-1/4+……+1/2007-1/2008] =2x(1-1/2008)=2*2007/2008=2007/1004