计算 1/2*4+1/4*6+.1/2006*20 - 知识问答

计算 1/2*4+1/4*6+.1/2006*2008

2个回答

1/2*4+1/4*6+.1/2006*2008
=1/2*(1/2-1/4)+1/2*(1/4-1/6)+.+1/2*(1/2006-1/2008)
=1/2*(1/2-1/4+1/4-1/6+.+1/2006-1/2008)
=1/2*(1/2-1/2008)
=1/2*1003/2008
=1003/4016

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