观察1/2X3=1/2-1/3 1/3X4=1/3-1/4 1/4X5=1/4-1/5计算1/6+1/12+1/20+1/30+…+1/2005X2006
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观察1/2X3=1/2-1/31/3X4=1/3-1/41/4X5=1/4-1/5计算1/6+1/12+1/20+1/30+…+1/2005X2006观察1/2X3=1/2-1/31/3X4=1/3-
观察1/2X3=1/2-1/3 1/3X4=1/3-1/4 1/4X5=1/4-1/5计算1/6+1/12+1/20+1/30+…+1/2005X2006
观察1/2X3=1/2-1/3 1/3X4=1/3-1/4 1/4X5=1/4-1/5
计算1/6+1/12+1/20+1/30+…+1/2005X2006
观察1/2X3=1/2-1/3 1/3X4=1/3-1/4 1/4X5=1/4-1/5计算1/6+1/12+1/20+1/30+…+1/2005X2006
1/6+1/12+1/20+1/30+…+1/2005X2006
=1/2x3+1/3x4+1/4x5+1/5x6+……+1/2005X2006
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/2005-1/2006
=1/2-1/2006
=501/1003