解题:1X2+2X3+3X4+……+100X101

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解题:1X2+2X3+3X4+……+100X101解题:1X2+2X3+3X4+……+100X101解题:1X2+2X3+3X4+……+100X101=1/3*1*2*3+1/3[2*3*4-1*2*

解题:1X2+2X3+3X4+……+100X101
解题:1X2+2X3+3X4+……+100X101

解题:1X2+2X3+3X4+……+100X101
=1/3*1*2*3+1/3[2*3*4-1*2*3]+1/3[3*4*5-2*3*4]+.+1/3[100*101*102-99*100*101]
=1/3[1*2*3+2*3*4-1*2*3+3*4*5-2*3*4+...+100*101*102-99*100*101]
=1/3*100*101*102
=343400