计算1/2×4+1/4×6+1/6×8+···+1/2006×2008

问题描述:

计算1/2×4+1/4×6+1/6×8+···+1/2006×2008
1个回答 分类:数学 2014-10-03

问题解答:

我来补答
1/2×4+1/4×6+1/6×8+···+1/2006×2008
=1/2×(1/2-1/4+1/4-1/6+1/6-1/8+···+1/2006-1/2008)
=1/2×(1/2-1/2008)
=1003/8032
 
 
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