名校
1 . 已知等差数列
的前
项和为
,且满足
,
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](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/57964a9b6a7c4a9bad33c4316407c24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9dc08571a7c9a77dc85cad5b578942.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422d25b60bf3e61228b241f58b7c39ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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2017-03-03更新
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3卷引用:2017届安徽省合肥市高三第一次教学质量检测数学文试卷
2 . 数列
满足
,
,
,则数列前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8323901a49cac29afd7d62864f088077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3ce9e3a7daa1c49f0aa29a58cbf506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32c88abd936125401c8d7e3bc21f4396.png)
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2020-01-09更新
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4卷引用:上海市曹杨二中2017-2018学年高二上学期10月月考数学试题
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13-14高一下·江西吉安·期中
名校
3 . 数列
前
项的和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b80ba171a6aae1ed21f3ded9871626e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2017-10-30更新
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名校
4 . 已知在前
项和为
的数列
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d3a5fbf2b402baa22a7adcdc072c18.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10570a6237d61192078d6c6d203920b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d3a5fbf2b402baa22a7adcdc072c18.png)
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解题方法
5 . 庄子“天下篇”中有“一尺之棰,日取其半,万世不竭”的论述,这是有名的关于数列的例子.若把每天截取木棒的长度由大到小排列,则构成以
为首项,q为公比的等比数列
.
(1)写出q的值及数列
的通项公式;
(2)令
,记数列
的前n项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(1)写出q的值及数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2292812c98d9fac9d6a8fe36f0246f06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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6 . 数列{
}中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cca3ba97550446f3150921df596c7c.png)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d71b5e3230dba4afb4bf9c4bbd13cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cca3ba97550446f3150921df596c7c.png)
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四川省珙县中学校2020-2021学年高一下期数学第5月月考测试题(已下线)专题4.4 数列的求和(A卷基础篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)河南省兰考县第二高级中学2021-2022学年高二上学期第三次考试数学试题 四川省成都市第十二中学2023-2024学年高二下学期3月月考数学试题
7 .
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e763442102aa584eb2e183b6ddeb5d0.png)
A.![]() | B.-![]() | C.![]() | D. ![]() |
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(已下线)江西省南昌市新建二中2019-2020学年高一下学期3月月考数学试题(已下线)对点练41 数列求和-2020-2021年新高考高中数学一轮复习对点练(已下线)考点13+数列的应用-2020-2021学年【补习教材·寒假作业】高二数学(人教B版2019)(已下线)专题4.4 数列的求和(A卷基础篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)专题08 数列求和-2020-2021学年高二数学数列专题复习课(人教A版2019选择性必修第二册)
8 . 若数列
的前n项和为
,
,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca1b4a1b9a1d3e856350f042455753d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46cacad8a91dd478aba596a3b5a085d7.png)
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9 . 若数列
的通项公式是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4bc0200e3fa77dce28106d44bcfb8e.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1566227eba874651790d9e069169e33d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4bc0200e3fa77dce28106d44bcfb8e.png)
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名校
10 . 若数列
的通项公式为
,其前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78d551e6cc415f570dc7fc49b825cb1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c746fccab2e2b5fe1a485e70227254b3.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/d78d551e6cc415f570dc7fc49b825cb1.png)
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