爱上海后花园

已知数列(An)中,A1=1/3,AnAn-1=An-1-An(n>=2),数列Bn满足Bn=1/An,求数列Bn的通项公式需要详细的步骤

AnAn1=An1AnAnAn1An=An1An=An1An11ngt;=2A1=13A2=A1A11=13131=14A3=A2A21=A1A11A1A111=A1A1A11=A12A11=13231=15A4=A3A31=A12A11A12A...

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