计算(ai=0,i=1,2…,n).

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问题 计算(ai=0,i=1,2…,n).

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答案Dn=[*]=a1a2…an-1+anDn-1 =a1a2…an-1+an(a1a2…an-2+an-1Dn-2) =a1a2…an-1+a1a2…an-2an+anan-1Dn-2 =…=[*]+anan-1…a2(1+a1) =a1a2…(1+[*]).

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