已知数列{a
n}满足a
1=2,前n项和为S
n,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183239622762650/SYS201310241832396227626022_ST/0.png)
.
(Ⅰ)若数列{b
n}满足b
n=a
2n+a
2n+1(n≥1),试求数列{b
n}前n项和T
n;
(Ⅱ)若数列{c
n}满足c
n=a
2n,试判断c
n是否为等比数列,并说明理由;
(Ⅲ)当
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183239622762650/SYS201310241832396227626022_ST/1.png)
时,问是否存在n∈N
*,使得(S
2n+1-10)c
2n=1,若存在,求出所有的n的值;若不存在,请说明理由.
考点分析:
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