1 . 试分别根据下列条件,写出数列
的前5项:
(1)
,
,
,其中
;
(2)
,
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e70b04fb4879fd9b98a103c793414c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d676517bbb3c12d5028540db285ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
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2 . 根据下列各题中的条件,求相应的等差数列
的前n项和
:
(1)7,5,3,1,
,…;
(2)
,
,
;
(3)
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)7,5,3,1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75dc3149a916fee7b64d2c22aa01cf7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294250dbd576bff3da0a1456cb9a88a5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8827c05075967f3c3569d31cb6b83919.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc807ea4b8a7ed325aee49aa292552ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fafbc94594b8c877de8883dea10e374c.png)
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23-24高二上·上海·课后作业
3 . 一个正方形被等分成九个相等的小正方形,将最中间的一个正方形挖掉,得图①;再将剩下的每个正方形都分成九个相等的小正方形,并将其最中间的一个正方形挖掉,得图②;如此继续下去……
(1)图③中共挖掉了多少个正方形?
(2)求每次挖掉的正方形个数所构成的数列的一个递推公式.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/13/321a1ce3-75ce-491d-80bd-968481c3c3c1.png?resizew=380)
(1)图③中共挖掉了多少个正方形?
(2)求每次挖掉的正方形个数所构成的数列的一个递推公式.
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23-24高二上·上海·课后作业
4 . 在等比数列
中,
(1)
,
,求
;
(2)
,
,求
;
(3)
,
,求
;
(4)
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6065aaa8f3f103d1bc960da8318ce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a48e81b54f78b96294295542b010dfb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9505fd2b77512a540d188f4d319cce35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535fd9605b90ac7f0fed6025be9f851f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eed39c7d611309b01476c15ab242308.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964df3e9308711d7e14fb624b0c25e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9e68173287516239a996648f624b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535fd9605b90ac7f0fed6025be9f851f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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23-24高二上·全国·课后作业
解题方法
5 . 求下列等比数列的前
项和:
(1)1,
,
,
,…;
(2)
,
,
;
(3)
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e165ecb6f59aff040ac62edd49cc5551.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0165ec0b56b8ed7932a7fb583b7677cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c345907ebe27888332b1b44c666cc47.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdf53108bee755f5aa9a34ea4d163e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535fd9605b90ac7f0fed6025be9f851f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/676d20fd5f92f17dda7736d08de6d928.png)
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6 . 已知:
,
(
)求数列
的通项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e0dd06c85f5f4c251014d3ba0dbc83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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22-23高二下·全国·课后作业
7 . 已知等差数列{an}中,
,
,试判断153是不是这个数列的项,如果是,是第几项?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed12ec5aace94b7f50e75f75947f41b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28f3dbf5a020abcb971c1e38066f4810.png)
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8 . 设等差数列
的前
项和为
.
(1)已知
,
,求
.
(2)已知
,
,求
.
(3)已知
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06dd3c3b45125d4b484e2894992610f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455153a2e91379d95841db772c70db3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34a901aa78366ac960f5f4e7f1fcbac.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f422edb72f7e1d5529a5570feb77df.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31221dede94e959824b95cf8d334c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87df689b605e7a283b56d454c3736a0.png)
您最近一年使用:0次
名校
解题方法
9 . 在等差数列
中.
(1)已知
,求
;
(2)已知
,
,求公差
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb117104a4729d9a87a7672731766e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d43aeb45ca7935afc695245fe37eb01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155a2be605fe4066569b27c69f9a16e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
2022-05-06更新
|
634次组卷
|
6卷引用:四川省德阳市什邡市什邡中学2021-2022学年高一下学期第二次月考数学试题
四川省德阳市什邡市什邡中学2021-2022学年高一下学期第二次月考数学试题2023版 湘教版(2019) 选修第一册 过关斩将 第1章 1.2.1等差数列及其通项公式+1.2.2等差数列与一次函数(已下线)4.2.1.2 等差数列的性质及应用(练习)-2022-2023学年高二数学同步精品课堂(人教A版2019选择性必修第二册)(已下线)4.2.1 等差数列的概念(3)1.2.1 等差数列及其通项公式(同步练习基础版)(已下线)第四章 数列(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)