先阅读再计算2/1x3=1-1/32/3x5=1/3-1/52/5x7=1/5-7=1/7试计算1/1x3+1/3x5+1/5x7+L+1/2005x2007 (x表示乘号)
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![先阅读再计算2/1x3=1-1/32/3x5=1/3-1/52/5x7=1/5-7=1/7试计算1/1x3+1/3x5+1/5x7+L+1/2005x2007 (x表示乘号)](/uploads/image/z/3401787-3-7.jpg?t=%E5%85%88%E9%98%85%E8%AF%BB%E5%86%8D%E8%AE%A1%E7%AE%972%2F1x3%3D1-1%2F32%2F3x5%3D1%2F3-1%2F52%2F5x7%3D1%2F5-7%3D1%2F7%E8%AF%95%E8%AE%A1%E7%AE%971%2F1x3%2B1%2F3x5%2B1%2F5x7%2BL%2B1%2F2005x2007+++++++++++%EF%BC%88x%E8%A1%A8%E7%A4%BA%E4%B9%98%E5%8F%B7%EF%BC%89)
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先阅读再计算2/1x3=1-1/32/3x5=1/3-1/52/5x7=1/5-7=1/7试计算1/1x3+1/3x5+1/5x7+L+1/2005x2007 (x表示乘号)
先阅读再计算
2/1x3=1-1/3
2/3x5=1/3-1/5
2/5x7=1/5-7=1/7
试计算1/1x3+1/3x5+1/5x7+L+1/2005x2007 (x表示乘号)
先阅读再计算2/1x3=1-1/32/3x5=1/3-1/52/5x7=1/5-7=1/7试计算1/1x3+1/3x5+1/5x7+L+1/2005x2007 (x表示乘号)
1/1x3+1/3x5+1/5x7+L+1/2005x2007
=1/2*(1-1/3+1/3-1/5+1/5+.+1/2005-1/2007)
=(1/2)(1-1/2007)
=1003/2007