1X2X3+2X3X4+.+n(n+1)(n+2)

问题描述:

1X2X3+2X3X4+.+n(n+1)(n+2)
1个回答 分类:综合 2014-10-02

问题解答:

我来补答
1*2*3+2*3*4+.+n*(n+1)(n+2)
=1/4[(1*2*3*4-0*1*2*3)+(2*3*4*5-1*2*3*4)+.+
n(n+1)(n+2)(n+3)-(n-1)n(n+1)(n+2)]
=1/4*n(n+1)(n+2)(n+3)
 
 
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