已知数列an满足a1+2a2+2^2a3+...+2^n-1an=2^2n-1(n∈N*)

1.a1+2a2+2²a3+...+[2^(n-1)]an=2^(2n-1) (1)a1+2a2+2²a3+...+[2^(n-2)]a(n-1)=2^(2n-3) (2)(1)-(2)[2^(n-1)]an=2^(2n-1)-2^(2n-3)=3×2^(2n-3)an=3×2^(2n-3)/2^(n-1)=3×2^(n-2)数列{an}的通项公式为an=...