两边同时加3/2,
3An＋3/2＝5An-1＋5/2
∴（An＋1/2）/（An-1＋1/2）＝5/3
∴数列｛An＋1/2｝是等比数列
又∵A1＋1/2＝4＋1/2＝9/2
∴An＋1/2＝(9/2)·(5/3)^(n-1)
∴An＝(9/2)·(5/3)^(n-1)－1/2
已知数列{an}满足a1=4,3an=5an(n下-1) +1,求an
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