已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=?

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已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=?
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已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=?
已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=?

已知数列{an}满足a1=1,an=a1+2a2+3a3+……+(n-1)an-1 (n≥2)求an=?
An-1=A1+A2+...+(n-2)An-2
An -An-1=(n-1)an-1
An=nAn-1（n≥2）
An=n（n-1）An-2=...=n（n-1）...3×A2
又∵A2=1
∴ An=n!/2
{
A1=1

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