(2014•吉安二模)已知{an}是公差为d的等差数列,其前n项和为Sn,{bn}是公比为q的等比数列,且a1=b1=3

(2014•吉安二模)已知{an}是公差为d的等差数列,其前n项和为Sn,{bn}是公比为q的等比数列,且a1=b1=3,a3=b2-2,S4=b3-3.
(1)求数列{an},{bn}的通项公式;
(2)记cn=[1/2](an-1)•bn,求数列{cn}的前n项和Tn
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