已知数列{a
n}中,a
1=3,a
2=5,其前n项和S
n满足S
n+S
n-2=2S
n-1+2
n-1(n≥3).令
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183424673810816/SYS201310241834246738108020_ST/0.png)
.
(Ⅰ)求数列{a
n}的通项公式;
(Ⅱ)若f(x)=2
x-1,求证:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183424673810816/SYS201310241834246738108020_ST/1.png)
(n≥1);
(Ⅲ)令
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183424673810816/SYS201310241834246738108020_ST/2.png)
(a>0),求同时满足下列两个条件的所有a的值:①对于任意正整数n,都有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183424673810816/SYS201310241834246738108020_ST/3.png)
;②对于任意的
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183424673810816/SYS201310241834246738108020_ST/4.png)
,均存在n
∈N
*,使得n≥n
时,T
n>m.
考点分析:
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