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) =……=(a1a2……an)/an+(a1a2……an)/an-1+……+(a1a2……an)/a2+anan-1……a2(1+a1) =a1a2……an[*]

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