设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则a6=
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![设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则a6=](/uploads/image/z/2712124-28-4.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%7BAn%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%E8%8B%A5An%2B1%3D3Sn%2Ca1%3D1%E5%88%99a6%3D)
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设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则a6=
设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则a6=
设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则a6=
a=3Sn,①
n=1时a2=3S1=3a1=3,
n>1时an=3S,②
①-②,a-an=3an,
a=4an,
∴a6=a2*4^4=3*256=768.
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