数列{an}的前n项和为Sn,若3Sn+an=3n+2(n∈N*),数列{bn}满足2bn+1=bn+bn+2(n∈N*),且b3=7,b8=22.
(1)求数列{an}和{bn}的通项公式an和bn;
(2)设数列cn=anbn,求{cn}的前n项和Tn.
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数列{an}的前n项和为Sn,若3Sn+an=3n+2(n∈N*),数列{bn}满足2bn+1=bn+bn+2(n∈N*),且b3=7,b8=22.
(1)求数列{an}和{bn}的通项公式an和bn;
(2)设数列cn=anbn,求{cn}的前n项和Tn.