(1)∵Sn=n2+2n∴当n≥2时,an=Sn-Sn-1=2n+1;当n=1时,a1=S1=3,也满足上式,∴综上得an=2n+1(2)由an=log2bn得bn=2an=22n+1,∴ bn+1 bn = 22n+3 22n+1 =4,∴数列{bn}是等比数列,其中b1=8,q=4∴Tn=23+25++22n+1= 8(1?4n) 1?4 = 8 3 (4n?1)