若数列{an}满足a1+3a2+3^2a3+……+3^(n-1)an=(n+1)/3,则求an

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若数列{an}满足a1+3a2+3^2a3+……+3^(n-1)an=(n+1)/3,则求an
若数列{an}满足a1+3a2+3^2a3+……+3^(n-1)an=(n+1)/3,则求an

若数列{an}满足a1+3a2+3^2a3+……+3^(n-1)an=(n+1)/3,则求an
a1+3a2+3^2a3+……+3^(n-1)an=(n+1)/3
a1+3a2+3^2a3+……+3^(n-2)a(n-1)=n/3
3^(n-1)an=1/3
an=1/3^n(n>1),a1=2/3

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