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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
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAFNSURBVFhH7ZfLDcMgDEA9GTuxDsswCqO4GAzB
gGiioOJDn8ohH6EXYxsKqJy/4Ft0CAaHBgAhDYuebxMKBD1aMOhCvgrOIBiHfKlA0FshlIUBLYfx
uGAfsXgHnQE0HNLzEeT8KxHTJxhJUaxFkoeaJe7RVyQtw3JrEqRqjnIl9wpqigSaXtiyVbBP9NW4
i64cnCAEvS1fGPdDyok2Ww/BgrI59tvNSZIgRU5WDwnPk3ZFn2erUZg9KyM9T1Uk9sLI7N4hgDr3
GL2xH50C5PLm3Ms9KWD8HScvcV13Os22kvxWIb37PDe/wrtIGl1qiTazpE6yWZA+urYLDk7TPu4L
JmiCvYLBexGxl6eZ/YID3QahTpCKtt0gdAmKfMwoEqT+K/8TE2oEvZ3Pq0KQKlesbCyUcn1fUDT0
fSed64jXjmupH0bw9/wF36JcEPEDgIyVuHpBDLIAAAAASUVORK5CYII=
)
,
![](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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