数列{An}满足A1+3A2+3^2*A3+.+3^N-1*An=n/3 A属于N紧急求数列{An}的通项

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数列{An}满足A1+3A2+3^2*A3+.+3^N-1*An=n/3 A属于N紧急求数列{An}的通项
数列{An}满足A1+3A2+3^2*A3+.+3^N-1*An=n/3 A属于N
紧急
求数列{An}的通项

数列{An}满足A1+3A2+3^2*A3+.+3^N-1*An=n/3 A属于N紧急求数列{An}的通项
A1+3A2+3^2*A3+.+3^(N-2)*A+3^(N-1)*An=n/3;
那么A1+3A2+3^2*A3+.+3^N-2*A=(n-1)/3
这两式相减得3^(N-1)*An=n/3-(n-1)/3=1/3;
则An=(1/3)/3^(N-1)
=1/3^N

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