已知等差數(shù)列{a
n}的首項(xiàng)a
1=1,公差d>0,且第二項(xiàng)、第五項(xiàng)、第十四項(xiàng)分別是等比數(shù)列{b
n}的第二項(xiàng)、第三項(xiàng)、第四項(xiàng).
(I)求數(shù)列{a
n}與{b
n}的通項(xiàng)公式;
(Ⅱ)設(shè)數(shù)列{c
n}對(duì)任意正整數(shù)n均有
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024180831196963357/SYS201310241808311969633019_ST/0.png)
+
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024180831196963357/SYS201310241808311969633019_ST/1.png)
+
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024180831196963357/SYS201310241808311969633019_ST/2.png)
+…+
![](http://thumb.zyjl.cn/pic6/res/gzsx/web/STSource/20131024180831196963357/SYS201310241808311969633019_ST/3.png)
=(n+1)a
n+1成立,其中m為不等于零的常數(shù),求數(shù)列{c
n}的前n項(xiàng)和S
n.