第1个回答 2011-03-23
上计算器！
但是若 1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+1/(7*9*11)+1/(9*11*13)+……+1/(2011*2013*2015)就有点小麻烦了！^_^
但是若 1/(1*3*5)+1/(3*5*7)+1/(5*7*9)+1/(7*9*11)+1/(9*11*13)+……+1/(2011*2013*2015)就有点小麻烦了！^_^
第2个回答 2011-03-17
原式=[1/(3*5)]*[1+1/7]+[1/(7*9)]*[1/5+1/11]+[1/(11*13)]*[1/9+1/15]
=8/(15*7)+16/(15*7*33)+8/(9*11*65)
=[8/(3*5*7)]*[1+2/33]+8/(9*11*65)
=8/99+8/(99*65)
=[8/99]*[1+1/65]
=[8/99]*[66/65]
=16/195本回答被网友采纳
=8/(15*7)+16/(15*7*33)+8/(9*11*65)
=[8/(3*5*7)]*[1+2/33]+8/(9*11*65)
=8/99+8/(99*65)
=[8/99]*[1+1/65]
=[8/99]*[66/65]
=16/195本回答被网友采纳
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