题目内容
已知在数列
中,
(
).
(I)若q =2,d = -1,,求a3,a4,并猜测a2006;
(II)若
是等比数列,且
是等差数列,求q, d满足的条件.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956869243.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956885593.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956901477.gif)
(I)若q =2,d = -1,,求a3,a4,并猜测a2006;
(II)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956901385.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956916386.gif)
(I)
.(II)
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956932406.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956947281.gif)
(I)∵
,∴
,
,猜测
.
(II)
,当
=0,显然成立;当![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957041199.gif)
0,
,
则
;
,当
,显然成立;当
,
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956963417.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956979430.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956994444.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132956932406.gif)
(II)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957025508.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957041199.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957041199.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957072129.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957072454.gif)
则
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957088412.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957103563.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957119242.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957135252.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823132957150570.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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