1/1X2+1/2X3+1/3X4+1/4X5+1/5X6……1/2007X2008

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/14 10:02:04

1/1X2+1/2X3+1/3X4+1/4X5+1/5X6……1/2007X2008
加完后等多少?
答案不要太长,初一新生水平.
力谢.

1/1X2+1/2X3+1/3X4+1/4X5+1/5X6……1/2007X2008
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/2007-1/2008
=1-1/2008
=2007/2008
再问：解释。加10。
再答： 1/(1×2)=1-1/2 1/(2×3) = 1/2 - 1/3 …… 1/(2007×2008) = 1/2007 - 1/2008 然后中间的都约去了！

1/1X2+1/2X3+1/3X4+1/4X5+1/5X6……1/2007X2008 1x1-2x2+3x3-4x4+5x5-6x6.-100x100+101x101 x6+x5+x4+x3+x2+x+1=0,求x2003+x2004+x2005+x2006+x2007+X2008=? 1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008=多少怎么计算 x8+x7+x6+x5+x4+x3+x2+x+1因式分解 1x2/1+2x3/1+3x4/1+4x5/1+5x6/1+6x7/1 1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+......1/2008x2009 1/1x2+1/2x3+1/3x4+1/4x5+1/5x6+1/6x7 (2X2)/1X3+(4X4)/(3X5)+(6X6)/(5X7)+...+(20X20)/(19X21)==? 急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每已知：X5+X4+X3+X2+X+1=0,求X2008+X2007+X2006+.+X809=? 解方程组X2+X3+X4=1 X1+X2+X3=5 X3+X4+X5=-5 X4+X5+X1=-3 X5+X1+X2=2