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(1)求证:{}是等差数列,并求公差;
(2)求数列{an}的通项公式.
已知数列{an}的首项a1=3,通项an与前n项和Sn之间满足2an=SnSn-1(n≥2).
①求证:是等差数列,并求公差;
②求数列{an}的通项公式.