1 . 已知数列
的前n项和为
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82b7afbfc50eb2bbb34b8760071e8a0.png)
(1)求
;
(2)若
,求数列
的前1012项和
.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82b7afbfc50eb2bbb34b8760071e8a0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08956de999dbddf9e42111a3d7cd9012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee6b547a3be248c012cc94abf603c09.png)
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2024-06-11更新
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767次组卷
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5卷引用:甘肃省武威第六中学2023-2024学年高三下学期第五次诊断数学试卷
甘肃省武威第六中学2023-2024学年高三下学期第五次诊断数学试卷河南省九师联盟2024届高三下学期5月联考数学试题(已下线)4.3.2等比数列的前n项和公式(2)(已下线)4.2.2等差数列的前n项和公式(1)辽宁省沈阳铁路实验中学2024届高三第八次模拟考试数学试题
2 . 已知数列
满足:
,
.
(1)求
的通项公式;
(2)设
表示不超过
的最大整数,如
,
.设
,
为前
项和,求数列
的前1000项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30e3c9bcabd41ff45d63c2aa265626e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6622931e908716637bfbb92d72e8c3ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2f67aece6b60126de90c43047e7325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d8811ce6cddf86019c5c84781ad0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6395cfb9d7bf96c2d00c3c2cdc48b81f.png)
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3卷引用:甘肃省武威市第八中学2023-2024学年高二上学期期末数学试题
甘肃省武威市第八中学2023-2024学年高二上学期期末数学试题江西省景德镇市景德镇一中2024届高三上学期1月考试数学试题(已下线)1.2.2等差数列的前n项和公式(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)
3 . 已知数列
是单调递增的等比数列,数列
是等差数列,且
.
(1)求数列
与数列
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5171185c099ec27e5703cc00e1cf11.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec12a9a60f82467bf7bf834a9a9b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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|
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4卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高二上学期期中数学试题
4 . 已知数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,证明:
.
![](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/9a1db01a84a840f3cf31006bba6bcfdb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ec386f0f3ddad65efa9fac2d5bc5d0.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c215db1d8f69757118ad405b78035628.png)
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2023-11-29更新
|
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2卷引用:甘肃省金昌市永昌县第一高级中学2023-2024学年高二上学期期中数学试题
名校
解题方法
5 . 已知递增的等差数列
和等比数列
满足
.
(1)求
和
的通项公式;
(2)若
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9532b9fe3a6a6805093c96d73752db.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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5卷引用:甘肃省甘南藏族自治州卓尼县柳林中学2023-2024学年高二上学期期中数学试题
甘肃省甘南藏族自治州卓尼县柳林中学2023-2024学年高二上学期期中数学试题(已下线)第二篇 “搞定”解答题前3个 专题2 数列解答题【讲】 高三逆袭之路突破90分河北省衡水市武强中学2023-2024学年高二上学期期末数学试题陕西省榆林市府谷县府谷中学2023-2024学年高二上学期开学考试数学试题安徽省亳州市涡阳县蔚华中学2023-2024学年高二下学期第一次月考(4月)数学试题
名校
解题方法
6 . 已知各项均为正数的数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)若数列
满足,
,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/954b6ba611824b08522a3b48ccb7a8fb.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d4dcc82225c5c7b447afeacb0350e58.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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6卷引用:甘肃省庆阳市第二中学2023-2024学年高二上学期第一次月考数学试题
甘肃省庆阳市第二中学2023-2024学年高二上学期第一次月考数学试题福建省莆田第二十五中学2023-2024学年高二上学期期中考试数学试题(已下线)第4章 数列 章末题型归纳总结(2)(已下线)第07讲 拓展二:数列求和(10类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)第06讲 拓展一:数列求通项(7类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)(已下线)云南、广西、贵州2024届“3+3+3”高考备考诊断性联考(二)数学试题变式题16-19
7 . 记
为等差数列
的前
项和,已知
,
.
(1)求等差数列
的通项公式;
(2)求
的最小值及对应的n值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/944234b576ca706f628f21ebe6535bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9416e71e42fb1fa2f85843052be902.png)
(1)求等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
8 . 记
为等差数列
的前
项和,已知
.
(1)求
的通项公式;
(2)求数列
的前
项和
.
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360a7921393205166962fbfb7b7c179e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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34卷引用:甘肃省陕西师范大学平凉实验中学2023-2024学年高二上学期第一次月考数学试题
甘肃省陕西师范大学平凉实验中学2023-2024学年高二上学期第一次月考数学试题2023年高考全国乙卷数学(文)真题(已下线)2023年高考数学真题完全解读(全国乙卷文科)全国甲乙卷3年真题分类汇编《数列》解答题全国甲乙卷5年真题分类汇编《数列》解答题专题05数列(成品)(已下线)专题11 数列前n项和的求法 微点8 分组法求和(已下线)模块三 专题7 数列--拔高能力练(北师大2019版 高二)(已下线)2023年高考全国乙卷数学(文)真题变式题16-20(已下线)模块三 专题6 数列--拔高能力练(人教B版高二)(已下线)专题08 数列重庆市万州第二高级中学2024届高三上学期7月月考数学试题广东省顺德德胜学校2024届高三上学期第一次综合考试数学试题广东省七校联合体2024届高三上学期开学第一次联考(8月)数学试题(已下线)第05讲 数列求和(练习)(已下线)第02讲 等差数列及其前n项和(十大题型)(讲义)-2江苏省南通市如东县2023-2024学年高二上学期期中数学试题黑龙江省佳木斯市第一中学2024届高三第四次调研考试数学试题(已下线)考点3 等差列的前n项和及其性质 2024届高考数学考点总动员(已下线)专题04 数列的概念与等差数列(3)(已下线)第2讲:复杂数列通项和求和【练】(已下线)专题04 数列及求和(分层练)(四大题型+14道精选真题)(已下线)专题04 数列及求和(讲义)(已下线)重难点03:数列近3年高考真题赏析-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)专题05 数列 第二讲 数列的求和(分层练)(已下线)专题6.1 等差数列及其前n项和【九大题型】(已下线)专题09 数列的通项公式、数列求和及综合应用(9大核心考点)(讲义)福建省福州第二中学2023-2024学年高二下学期3月月考数学试题江西省丰城中学2023-2024学年高二下学期3月月考数学试题(已下线)5.2 等差数列和等比数列(高考真题素材之十年高考)(已下线)专题21 数列解答题(文科)-1辽宁省沈阳铁路实验中学2023-2024学年高二下学期4月阶段测试数学试卷专题06数列专题29数列解答题
9 . 已知数列
,
,对任意的
都有
.
(1)求
的通项公式;
(2)数列
满足:
,且
,求数列
的前
项和
.
![](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/f7965f5d265d8b1a5bea91a427dd3a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da1e7c4104236762de2be64fb52a8f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c24437f62e6fab6d8baf7060f5c8ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.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/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-03-23更新
|
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|
2卷引用:甘肃省兰州市2023届高三下学期诊断考试文科数学试题
名校
解题方法
10 . 已知数列
满足
,且
,
.
(1)设
,证明:数列
为等差数列;
(2)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629e54076b5754d3309da6cdcebfefc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d3d55a85012933f91c5d8d27d8801d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2023-03-07更新
|
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3卷引用:甘肃省张掖市某重点校2022-2023学年高二下学期2月月考数学(文)试题