1/1x3+1/2x4+1/3x5+……+1/18x20=?

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1/1x3+1/2x4+1/3x5+……+1/18x20=?
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1/1x3+1/2x4+1/3x5+……+1/18x20=?
1/1x3+1/2x4+1/3x5+……+1/18x20=?

1/1x3+1/2x4+1/3x5+……+1/18x20=?
1/1x3+1/2x4+1/3x5+……+1/18x20 =1-1/3+1/2-1/4+1/3-1/5+1/4-1/6+.-1/17+1/16-18/1+1/17-1/19+1/18-1/20 =1+1/2-1/19-1/20 =531/380 就是这样

1/1x3+1/2x4+1/3x5+……+1/18x20 =1/2[1/1-1/3+1/2-1/4+1/3-1/5+.........1/17-1/19+1/18-1/20] =1/2[1-1/19+1/2-1/20] =531/760