对于无穷数列
,给出如下三个性质:①
;②
,
;③
,
,
,定义:同时满足性质①和②的数列
为“s数列”,同时满足性质①和③的数列
为“t数列”,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179513ce80436471efbe1d9b31735f7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db3c9d849c982b18bdd7bf2bc6d954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18f06123a6cdbefb0b12195ced3897f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/610b89816a37580b8d59231cd6c9ca87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1946803973f5d8e0af84cc38b21cffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若等比数列![]() ![]() |
更新时间:2023-05-07 22:57:15
|
相似题推荐
多选题
|
较难
(0.4)
【推荐1】已知数列
的首项不为零,前
项和为
,若
,则下列结论正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d4345595e93f506bf55a04cae217e64.png)
A.![]() |
B.![]() |
C.当![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
【推荐2】数列
满足
(
为非零常数),则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4239a770103f90887cf38cc6b66697c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee2d0d02271f33d8974127aa8cc18e0.png)
A.若![]() ![]() |
B.对任意的非零常数![]() ![]() |
C.若![]() ![]() |
D.若正数![]() ![]() ![]() |
您最近一年使用:0次
多选题
|
较难
(0.4)
名校
【推荐3】普林斯顿大学的康威教授于1986年发现了一类有趣的数列并命名为“外观数列”(Lookandsaysequence),该数列由正整数构成,后一项是前一项的“外观描述”.例如:取第一项为1,将其外观描述为“1个1”,则第二项为11;将11描述为“2个1”,则第三项为21;将21描述为“1个2,1个1”,则第四项为1211;将1211描述为“1个1,1个2,2个1”,则第五项为
,这样每次从左到右将连续的相同数字合并起来描述,给定首项即可依次推出数列后面的项.则对于外观数列
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dd4c2c5dbcc394a2b4c5087be9dda1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() |
D.若![]() ![]() |
您最近一年使用:0次
【推荐2】已知数列
满足
,
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b293ef8b6f41032dd6016ce4defd9eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
A.数列![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次