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单词 telescoping series
释义
telescoping series

Mathematics
  • A series {ar} which can be expressed as a sum of differences of successive terms of another series {br}, i.e. that ar=brbr1so r=anar=bnb0., as all terms between the first and last cancel out. For example, if ar=1r(r+1)=1r1r+1,thenr=1nar=r=1n(1r1r+1)=11n+1=nn+1.


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