1/1x2+1/2x3+1/3x4+.+1/n(n+1)=?
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1/1x2+1/2x3+1/3x4+.+1/n(n+1)=?
1/2x4+1/4x6+1/6x8+…+1/2010x2012
1/2x4+1/4x6+1/6x8+…+1/2010x2012
1/1x2+1/2x3+1/3x4+.+1/n(n+1)
=1-1/2+1/2-1/3+1/3-1/4+···+1/n-1/(n+1)
=1-1/(n+1)
=n/(n+1)
再问: 看我补充,谢谢
再答: 1/2x4+1/4x6+1/6x8+…+1/2010x2012 =1/2(2/2x4+2/4x6+2/6x8+···+2/2010x2012) =1/2(1/2-1/4+1/4-1/6+1/6-1/8+···+1/2010-1/2012) =1/2(1/2-1/2012) =1/2x2011/2024 =2011/4048
=1-1/2+1/2-1/3+1/3-1/4+···+1/n-1/(n+1)
=1-1/(n+1)
=n/(n+1)
再问: 看我补充,谢谢
再答: 1/2x4+1/4x6+1/6x8+…+1/2010x2012 =1/2(2/2x4+2/4x6+2/6x8+···+2/2010x2012) =1/2(1/2-1/4+1/4-1/6+1/6-1/8+···+1/2010-1/2012) =1/2(1/2-1/2012) =1/2x2011/2024 =2011/4048
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