1 . 数列
中,
,且对任意
都有
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480e928c84fb20b2516eae438c869ad.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6721d68ac4ef2a03c1403a4591c8d058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f42949920904b8be46312deb5a8584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480e928c84fb20b2516eae438c869ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539e11f042be4cfc015f70bfd4ab8e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:河南省三门峡市2022-2023学年高三上学期11月阶段性考试数学(理)试题
名校
解题方法
2 . 已知数列
的前n项和为
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c646d8e8046bb93c4e22467d6ba22a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3299d1d394efc1381671b1632e6e87e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
A.![]() | B.![]() | C.1025 | D.2049 |
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3卷引用:河南省三门峡市2021-2022学年高二上学期期末数学理科试题
3 . 已知数列
满足
,且前8项和为506,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/867f01c4b57492a38ad1788c2bc5ce63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7999465d0e871febde66296a0cbf058c.png)
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3卷引用:河南省三门峡市2021-2022学年高三第一次大练习文科数学试题
4 . 小正方形按照下图中的规律排列,每个图形中的小正方形的个数构成数列
有以下结论:①
;②
是一个等差数列;③数列
是一个等比数列;④数列
的递推公式
其中正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad30249f4c029f04e602e7a349006b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e01c4fe11c19dbe07f249493c65a5e.png)
A.①②④ | B.①③④ | C.①② | D.①④ |
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7卷引用:河南省三门峡市2021-2022学年高二下学期期末质量检测文科数学试题
2012·海南·一模
名校
5 . 如图所示,有三根针和套在一根针上的
个金属片,按下列规则,把金属片从一根针上全部移到另一根针上.
(1)每次只能移动一个金属片;
(2)在每次移动过程中,每根针上较大的金属片不能放在较小的金属片上面.
将
个金属片从1号针移到3号针最少需要移动的次数记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994aca8d4a682b9ed13496b3867e7b2.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)每次只能移动一个金属片;
(2)在每次移动过程中,每根针上较大的金属片不能放在较小的金属片上面.
将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994aca8d4a682b9ed13496b3867e7b2.png)
![](https://img.xkw.com/dksih/QBM/2019/4/24/2189294467104768/2189342500593664/STEM/9295b4c49a3742e68ae0f2c5a1726c01.png?resizew=178)
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