解,由题可知,2Sn=2a(n+1)-a22a1=2a2-a2则a2=2a1=4n≥2时2an=2(Sn-Sn-1)=2a(n+1)-2an则an+1=2an,则an为等比数列。则an=2^n,Sn=2.2^n-2(2)bn=3^n/[2^n(2.2^n-2+1)] =3^n/(2.4^n-2^n)<(3/4)^n则Tn<(3/4)+(3/4)^2+,,,,,, =(3/4x(1-(3/4)^n)/(1-3/4) <3