1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么?

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1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么?
1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么?

1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么?
拆项法
1/1*3+1/3*5+1/5*7+……+1/2003*2005
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+.+1/2(1/2003-1/2005)
=1/2(1-1/3+1/3-1/5+1/5-1/7+.+1/2003-1/2005)
=1/2(1-1/2005)
=1/2×2004/2005
=1002/2005

1/1*3+1/3*5+1/5*7+……+1/2003*2005
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+.........+1/2(1/2003-1/2005)
=1/2(1-1/3+1/3-1/5+1/5-1/7+...........+1/2003-1/2005)
=1/2(1-1/2005)
=1/2*2004/2005
=1002/1005

I do not know.

1/3+3/5+5/7+……+2007/2009 1/1*3+1/3*5+1/5*7……+1/17*19 简算:1/(1*3)+1/(3*5)+1/(5*7)+……+1/(99*101)= 1/1*3+1/3*5+1/5*7……1/97*99= 1×3/1+3×5/1+5×7/1……+49×51/1 1/1×3 1/3×5 1/5×7 …… 1/2009×2010等于多少 1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么? 1/1×3+1/3×5+1/5×7+……+1/47×49简便计算 1/1*3+1/3*5+1/5*7+……+1/47*49 1+3+5+7+9+……+(2n-1) (+1)+(-3)+(+5)+(-7)+…+(2005)+(-2007) 1+3+5+7+… +49= 1/3*5+1/5*7+1/7*9+……1/97*99 1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=? 1/3×1/5+1/5×1/7+1/7×1/9+……+1/97×1/99 1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101 计算：1/1*3+1/3*5+1/5*7+1/7*9+……+1/97*99= 1/1×3+1/3×5+1/5×7+1/7×9……1/97×99算式,