1x2x3+2x3x4+3x4x5+4x5x6+...+n(-查字典问答网
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来自刘连峰的问题

  1x2x3+2x3x4+3x4x5+4x5x6+...+n(n+1)(n+2)=

  1x2x3+2x3x4+3x4x5+4x5x6+...+n(n+1)(n+2)=

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2020-03-2402:55
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任明秋

  原式=1/4(-0*1*2*3+1*2*3*4)+1/4(-1*2*3*4+2*3*4*5)+……+1/4[-(n-1)n(n+1)(n+2)+n(n+1)(n+2)(n+3)]

  =1/4[-0*1*2*3*4+n(n+1)(n+2)(n+3)]

  =n(n+1)(n+2)(n+3)/4

2020-03-24 02:57:06
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