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已知数列{an}是等差数列,a3=10,a6=22,数列{bn}的前n项和是Tn,且.(Ⅰ...
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已知数列{a
n}是等差数列,a
3=10,a
6=22,数列{b
n}的前n项和是T
n,且
.
(Ⅰ)求数列{a
n}的通项公式;
(Ⅱ)求证:数列{b
n}是等比数列;
(Ⅲ)记c
n=a
n•b
n,求证:c
n+1<c
n.
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