(1)∵Sn=2an-2,∴Sn-1=2an-1-2(n≥2),∴an=2an-1,又∵a1=2,∴{an}是以2为首项,2为公比的等比数列,∴an=2n;(2)∵bn=nan=n?2n,∴Tn=1×2+2×22+3×23+…+n?2n,∴2Tn=1×22+2×23+…+n?2n+1,因此:-Tn=1×2+(22+23+…+2n)-n?2n+1∴Tn=(n-1)2n+1+2.