计算1\1x2x3+1\2x3x4+1\3x4x5+``````+1\48x49x50注:(\)为分数线(x)为乘号

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计算1\1x2x3+1\2x3x4+1\3x4x5+``````+1\48x49x50注:(\)为分数线(x)为乘号
计算1\1x2x3+1\2x3x4+1\3x4x5+``````+1\48x49x50注:(\)为分数线(x)为乘号

计算1\1x2x3+1\2x3x4+1\3x4x5+``````+1\48x49x50注:(\)为分数线(x)为乘号
1\1x2x3=2x(1\1x2-1\2x3),所以:1\1x2x3+1\2x3x4+1\3x4x5+``````+1\48x49x50=2x(1\1x2-1\2x3)+2x(1\2x3-1\3x4)+`````+2x(1\48x49-1\49x50)=2(1\2-1\49x50)=1-1\49x25