名校
1 . 已知数列
满足
,
,设
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e472ad6e7bf7a6a409a43d4ea9035e0.png)
__________ .
![](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/cceb2c03455b66b7014b3df7282c01db.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ebce85ea9bc18815ef8887057030a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e472ad6e7bf7a6a409a43d4ea9035e0.png)
您最近一年使用:0次
2 . 记数列
的前
项和为
,已知
.
(1)求数列
的通项公式;
(2)记
数列
的前
项和为
,求
![](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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf505dc0bdc8d6a768c0807ea56d235e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a328efc47f6933fa5363e2a515fe74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716d6be9fcea44d5327c3e84184cd59e.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-04-18更新
|
953次组卷
|
5卷引用:拓展二 数列求和的方法(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)
(已下线)拓展二 数列求和的方法(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)2020届河南省焦作市高三第三次模拟考试数学文科试题2020届河南省安阳市高三第二次模拟考试理科数学试题2020届河南省焦作市高三第三次模拟考试理科数学试题2020届河南省安阳市高三第二次模拟考试数学文科试题
名校
解题方法
3 . 已知等差数列
中,公差
,
是
和
的等比中项;
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894aaec56149f880c7cf2bbc0f358d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1344592c925b273f2cb9b9e47ebbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894aaec56149f880c7cf2bbc0f358d2b.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e659bc44d8b588bdfe3fbb516e71ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-10-18更新
|
1491次组卷
|
6卷引用:广东省广州市真光中学2021-2022学年高二上学期12月月考数学试题
广东省广州市真光中学2021-2022学年高二上学期12月月考数学试题(已下线)第04周周练(拓展二:数列求和)安徽省六安中学2019-2020学年高一下学期期末数学(理)试题江苏省苏州市新草桥中学2020-2021学年高二上学期10月月考数学试题(已下线)专题11 数列前n项和的求法 微点1 公式法求和【全国市级联考】湖南省张家界市2017-2018学年高一第二学期期末联考数学(A卷)试题
名校
解题方法
4 . 已知数列
的前n项和为
,且满足
,数列
中,
,对任意正整数
,
.
(1)求数列
的通项公式;
(2)是否存在实数
,使得数列
是等比数列?若存在,请求出实数
及公比q的值,若不存在,请说明理由;
(3)求数列
前n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/8a5df4d666ed956941509cae1ed53f26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1a8b0572d26664d15fd09ca22f8bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea37d7a403608c903e565f30866bb95c.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce4147cbb26fe7b421bdf3f15529f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-02-09更新
|
1545次组卷
|
8卷引用:河南省三门峡市2019-2020学年高二上学期期末数学(理)试题
5 . 已知
是首项为32的等比数列,
是其前n项和,且
,则数列
前10项和为
![](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/4b4439516ce100f355fc203c2503110e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5a8b24d11f93d5c6564792e02e6e23.png)
A.58 | B.56 | C.50 | D.45 |
您最近一年使用:0次
2020-01-28更新
|
592次组卷
|
3卷引用:拓展二 数列求和的方法(精讲)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)
(已下线)拓展二 数列求和的方法(精讲)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)人教B版(2019) 选修第三册 必杀技 第五章 专题2 数列求和广东省深圳市宝安区2019-2020学年高二上学期期末数学试题
6 . 设数列{an}满足a1=2,且an+1=an+2(n+1),若[x]表示不超过x的最大整数,(例如[1.6]=1,[﹣1.6]=﹣2)则[
+[
]+……+[
]=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec695307c998dab5bb28808b55300db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5467d8a930462615f7e5b0dbab522fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1291efc69afa8501541ddc903c03f8.png)
A.2020 | B.2019 | C.2018 | D.2017 |
您最近一年使用:0次
7 . 已知数列
的前
项和为
,且
,数列
为等差数列
,
.
(1)求
,
的通项公式;
(2)记
,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/c8370a173854471a3eb27637993a3d5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faf7a55adfc17a47503011a5feb395c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17ddcb9d7a3e0c70c923e6819ff3a8d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831de7531e4b51f836a5ef44c4791198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0010f17f7ae1fd17f739fea53f76083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-04-12更新
|
804次组卷
|
3卷引用:拓展二 数列求和的方法(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)
(已下线)拓展二 数列求和的方法(精练)-2020-2021学年一隅三反系列之高二数学新教材选择性必修第二册(人教A版)江苏省泰州市姜堰中学2020-2021学年高二上学期阶段测试一数学试题浙江省百校联考2018-2019学年高三5月高仿真模拟数学试题
名校
8 . 已知数列
中,
,
是数列
的前
项和,且
.
(1)求
,
,并求数列
的通项公式
;
(2)设
,数列
的前
项和为
,若
对任意的正整数
都成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8d661225d28286b41d374731569a1e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5532d267a60c1fdd8e46679ca485a7.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/ed31a273fd24972a3c5fd999cc75c4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-01-31更新
|
3286次组卷
|
5卷引用:专题二 数列求和-2020-2021学年高二数学新教材同步课堂精讲练导学案(人教A版2019选择性必修第二册)
(已下线)专题二 数列求和-2020-2021学年高二数学新教材同步课堂精讲练导学案(人教A版2019选择性必修第二册)江苏省常州市2019-2020学年高二上学期期末数学试题(已下线)考点21 求和方法(第2课时)讲解-2021年高考数学复习一轮复习笔记湖南师范大学附属中学2023届高三上学期第二次月考数学试题福建省龙岩第一中学2022-2023学年高二上学期期末质量检测数学模拟试题
9 . 已知数列
,
都是等差数列,
,
,设
,则数列
的前2018项和为
![](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/6f552707ec08bce9f61bf17bce865d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d3b280242ca0a9fff5111f2ae908b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eced722fb793770eac2cf98e7154ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 已知某数列前
项之和为
,且前
个偶数列的和为
,则前
个奇数项的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411a315870ed3e6d0e8ea885f1a04bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939e9f65ad0f92a062f690ff86febab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次