(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)怎么写?
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![(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)怎么写?](/uploads/image/z/5444396-44-6.jpg?t=%EF%BC%88-1%2A1%2F2%29%2B%28-1%2F2%2A1%2F3%29%2B%28-1%2F3%2A1%2F4%29%2B.%2B%28-1%2F2008%2A1%2F2009%29%2B%28-1%2F2009%2A1%2F2010%29%2B%28-1%2F2010%2A1%2F2011%29%E6%80%8E%E4%B9%88%E5%86%99%3F)
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(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)怎么写?
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)怎么写?
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)怎么写?
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1/2010)+(-1/2010*1/2011)
=(-1+1/2)+(-1/2+1/3)+(-1/3+1/4)+.+(-1/2008+1/2009)+(-1/2009+1/2010)+(-1/2010+1/2011)
=-1+1/2011
=-2010/2011
1/n*(n+1)=1/n-1/n+1