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设{an}的通项为an,前n项和为Sn,下列命题中正确命题的序号是________.
①若an=an2+bn(a,b为常数),则{an}是等差数列;
②若an=an+b(a,b为常数),则{an}是等差数列;
③若Sn=an2+bn(a,b为常数),则{an}是等差数列;
④若Sn=an2+bn+c(a,b,c为非零常数),则{an}是等差数列;
⑤若Sn=an2+bn+c(a,b,c为非零常数),则{an}从第2项起是等差数列.