已知二次函数y=f(x)的图象经过坐标原点,其导函数为f′(x)=6x-2,数列{a
n}的前n项和为S
n,点(n,S
n)(n∈N
*)均在函数y=f(x)的图象上.
(Ⅰ)求数列{a
n}的通项公式;
(Ⅱ)设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231737205741511/SYS201311012317372057415021_ST/0.png)
,T
n是数列{b
n}的前n项和,求使得
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101231737205741511/SYS201311012317372057415021_ST/1.png)
对所有n∈N
*都成立的最小正整数m;
考点分析:
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设数列{a
n}的前n项和为S
n=2n
2,{b
n}为等比数列,且a
1=b
1,b
2(a
2-a
1)=b
1.
(Ⅰ)求数列{a
n}和{b
n}的通项公式;
(Ⅱ)设c
n=
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