设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则An=

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设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则An=

设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则An=
设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则An=

设数列{An}的前n项和为Sn若An+1=3Sn,a1=1则An=
an+1=3Sn
an=3Sn-1
an=Sn-Sn-1=an+1/3-an/3
2an/3=an+1/3
q=an+1/an=2
a1=1
an=a12^(n-1)=2^(n-1)

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