当n≥2时,4a(n+1)=4S(n+1)-4Sn=(3Sn+1)-(3S(n-1)+1)=3an,
又因为a1=2,4S2=3S1+1=3a1+1=7,所以a2=-1/4,
综上所述,an={(2,n=1,-1/4 (3/4)^(n-2),n≥2)
当n≥2时,4a(n+1)=4S(n+1)-4Sn=(3Sn+1)-(3S(n-1)+1)=3an,
又因为a1=2,4S2=3S1+1=3a1+1=7,所以a2=-1/4,
综上所述,an={(2,n=1,-1/4 (3/4)^(n-2),n≥2)