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已知数列{an},{bn}满足:,,(n∈N*).(Ⅰ)证明数列{bn}为等比数列.并求数...
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已知数列{a
n},{b
n}满足:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAjCAYAAADmOUiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAF+SURBVFhH7ZfbkcMgDEVVGT3RDs1QCqVoEU8J
djciYcb6iCf+iEeGw9XTgMYvMM6HX0CVh1JAB4BQbo+RvWRAwYgeHIZUqVJwCC5g+2vAxdELIMz6
+aykbzI+ruCqWNYQgwN0TdLHAbNPS/x1xewB9rgbSVKTxYyL1yy3lySccHM3GsjiDkjZnF3bk6M/
NpMkwGohF/UqYO0EulvVYbLRVUDtpid2AjB61g8pJmZxOlnzqm0DlNV7bTdXdzxcrACScjJ7CHg2
cO2a2vgju5Gl/8Qs2UBpNWx6aCPF/kxLedkOqHLv6u316PK+6uVAureOOrUmJcy/x6/qYjHNcsiF
r9iex+bLU7YuUmJ4CTd9HRyLXAakQ49y1sRh5U0PWGSQ4/lLZRQGKcYx3pP5h9PMfcDtDEuDeFzB
FZCSljcwW4AiHiu6IUDqXvKb2BRg9L9XBxMKUuaKwSknyvlHkyjoMpAV1eRPkzni8UF3uvpQwU9Q
3nv3C/iebvMt8wr+AICMlbieKXOUAAAAAElFTkSuQmCC
)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHQAAAAgCAYAAADDhVzGAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAgCAYAAAB90wSbAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
(n∈N
*).
(Ⅰ)证明数列{b
n}为等比数列.并求数列{a
n},{b
n}的通项公式;
(Ⅱ)记数列{a
n},{b
n}的前n项和分别为S
n,T
n,若对任意的n∈N*都有
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACsAAAAxCAYAAABDEFA9AAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
,求实数m的最小值.
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