由an+1= an 3an+1 ,可得 1 an+1 =3+ 1 an ,可得数列{ 1 an }为 1 a1 =1,公差为3的等差数列,求得数列{ 1 an }递推式为 1 an =1+3(n?1),可求出数列{an}的通项公式为an= 1 3n?2 ,故答案为an= 1 3n?2 .