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已知数列{an}满足a1=1,a2=3,an+2=3an+1-2an(n∈N*).(I)证...
试题详情
已知数列{a
n}满足a
1=1,a
2=3,a
n+2=3a
n+1-2a
n(n∈N
*).
(I)证明:数列{a
n+1-a
n}是等比数列;
(II)求数列{a
n}的通项公式;
(III)若数列{b
n}满足
,证明{b
n}是等差数列.
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