数列an满足a1+3a2+3²a3+.+3的n-1次方an=n+1/3,则an等于

n=1时,a1=1+1/3=4/3n≥2时,a1+3a2+3²·a3+...+3^(n-1)·an=n +1/3 (1)a1+3a2+3²·a3+...+3^(n-2)·a(n-2)=(n-1)+1/3 (2)(1)-(2)3^(n-1)·an=1an=1/3^(n-1)n=1时,a1=1/1=1≠4/3数列{an}的通项公式为an=4/3 ...