(Ⅰ)∵a1=1,∴a2=3+1=4,∴a3=32+4=13;(Ⅱ)证明:由已知an-an-1=3n-1,n≥2故an=(an-an-1)+(an-1-an-2)+…+(a2-a1)+a1=3n?1+3n?2+…+3+1= 3n?1 2 .n≥2当n=1时,也满足上式.所以an= 3n?1 2 .