(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)…+(-1/2013×1/2014)=

发布网友发布时间：2024-10-08 02:10

共2个回答

热心网友时间：2024-10-12 03:47

(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)…+(-1/2013×1/2014)
=(-1+1/2)+(-1/2+1/3)+(-1/3+1/4)...+(-1/2013+1/2014)
=-1+1/2014
=-2013/2014

热心网友时间：2024-10-12 03:49

=-（1/1x1/2+1/2x1/3+1/3x1/4+……+1/2013x1/2014)
=-[1/(1x2)+1/(2x3)+1/(3x4)+……+1/（2013x2014)]
=-[1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+（1/2013-1/2014）]
=-(1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-…-1/2013+1/2013-1/2014)
=-(1-1/2014)
=-2013/2014

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