名校
解题方法
1 . 已知数列
满足
,
.
(1)求数列
的通项公式;
(2)若数列
的前n项和
,则n的最小值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3998df04d0a8ded946c3f39d545fdc7e.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/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6366f03469c316fab71a207400b6ce.png)
您最近一年使用:0次
2020-08-31更新
|
206次组卷
|
3卷引用:江西省上饶市广信区综合高级中学2023-2024学年高三上学期9月月考数学试题
名校
解题方法
2 . 若数列
满足
,
,则使得
成立的最小正整数
的值是______ .
![](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/1cc8a0e85f7bf293f47623fbf7ddbf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20927e8913a24ab3df7a70c243629ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2020-07-27更新
|
1804次组卷
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7卷引用:江西省南昌市第二中学2021届高三上学期第四次考试数学(理)试题
江西省南昌市第二中学2021届高三上学期第四次考试数学(理)试题江西省新余市第四中学2021届高三上学期第四次考试数学(理)试题(已下线)考点39 数列的概念与简单表示法-备战2021年新高考数学一轮复习考点一遍过(已下线)专题13 数列-备战2021年新高考数学纠错笔记 (已下线)专题23 数列通项公式的求解策略-学会解题之高三数学万能解题模板【2022版】浙江省2020年7月普通高中学业水平考试数学试题浙江省山水联盟2020-2021学年高二上学期开学考试数学试题
名校
解题方法
3 . 已知
是数列
的前n项和,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d999d78d7e288953ec061670a5174615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d82e4c2294efbd33e1b268e9a0cec5.png)
(1)求数列
的通项公式;
(2)设
,数列
的前
项和为
,求证:
.
![](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/d999d78d7e288953ec061670a5174615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d82e4c2294efbd33e1b268e9a0cec5.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d90764055233426b2f630f7ab3c152.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/e672c3d231081d12e44a4211e5ac60bf.png)
您最近一年使用:0次
2020-07-26更新
|
875次组卷
|
3卷引用:江西省南昌市第二中学2021届高三上学期第四次考试数学(文)试题
名校
解题方法
4 . 已知数列
,
满足
,对任意
均有
,
.
(1)证明:数列
和数列
均为等比数列;
(2)设
,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/ebaf2a2590bb84d646957f913d78f6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d806abf9558e6be9ce5ba79a79d113ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e557df2f9aeecbc164482608a4c7c88b.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5344eadd4711db34e3f935aedd5fb270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52c9237cb0b4acc568d4afb12997186.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d192ce23fc9dbaa6c44b1e3404dad9aa.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-07-21更新
|
507次组卷
|
2卷引用:江西省师大附中2020届高三三模考试理科数学试题
5 . 若数列
的前n项和为
,对任意正整数n都有
,记
,则数列
的前50项的和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292a7a05cf44726463145705fc0f5d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644a4e7cd7460a0d96ccae5b192e684a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.png)
您最近一年使用:0次
2020-07-21更新
|
286次组卷
|
2卷引用:江西省南昌二中2020届高三线上教学质量检测数学(文科)试题
名校
解题方法
6 . 已知
是数列
的前n项和,
,
.
(1)求数列
的通项公式;
(2)若
,
,求数列
的前n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/b9f1c9bdfb252a71b1fc88d7f8082240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2b820aeae8eb64d8816ef2c4912b63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/175005738672c8c1f431aac6333ab94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2020-06-16更新
|
1063次组卷
|
4卷引用:江西省永丰中学2020届高三7月3号考前保温卷数学(理科)试题
解题方法
7 . 正项数列
满足
,
,则使
的最小的
值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda2c88936077e71bcd6f280750b18a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214755d52da8cf2d569e8aa95a28ca3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
8 . 已知数列
的前
项和为
,且
.
(1)证明:数列
为等比数列;
(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/a21c9422e34e3ab852ddbe05508d1960.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7d94406136605c5bc9cd9295d6c9fa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a19b768877f8c44b71c4a0d9f5d3b98.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)
您最近一年使用:0次
2020-09-20更新
|
1081次组卷
|
8卷引用:江西省南昌十中2020届高三高考适应性考试文科数学试题
江西省南昌十中2020届高三高考适应性考试文科数学试题【市级联考】湖南省湘潭市2019届高三上学期第一次模拟检测数学(理)试题天津市河北区2020届高考二模数学试题(已下线)2021届高三高考数学适应性测试八省联考考后仿真系列卷四安徽省阜阳市太和中学2019-2020学年高二下学期期末数学(理)试题(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)(已下线)4.3.1 等比数列的概念1课时黑龙江省大庆市实验中学2021-2022学年高二实验一部下学期4月阶段性质量检测(月考)数学试题
名校
解题方法
9 . 已知数列
的前
项和为
,
,若存在两项
,
,使得
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/681ae1522a36768618f7ddaf74abbb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ba1c5bd4befa16725f99a040435823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebfaae40629f480827037653562fa87f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-09-10更新
|
703次组卷
|
15卷引用:【全国百强校】江西省南昌市第二中学2019届高三第六次考试数学(理)试题
【全国百强校】江西省南昌市第二中学2019届高三第六次考试数学(理)试题四川省绵阳市涪城区南山中学2019-2020学年高三上学期11月月考数学(理)试题山东省泰安第二中学2020届高三11月月考数学试题宁夏石嘴山市第三中学2021届高三补习班上学期期中数学(理)试题(已下线)2021届高三数学新高考“8+4+4”小题狂练(29)江西省靖安中学2019-2020学年高二上学期第一次月考数学(理)试题云南省楚雄实验中学2023届高三上学期12月月考数学试题河北省邢台市第一中学2018-2019学年高一下学期第三次月考数学试题新疆奎屯市第一高级中学2018-2019学年高一下学期期末考试数学(文)试题(已下线)第三章+不等式(基础过关)-2020-2021学年高二数学单元测试定心卷(人教版必修5)甘肃省民乐县第一中学2020-2021学年高二上学期期中考试数学(文)试题(已下线)第四章 数列单元测试(巅峰版)课时训练-【新教材优创】突破满分数学之2020课时训练-2021学年高二数学课时训练(人教A版2019选择性必修第二册)江苏省南通市西亭高级中学2020-2021学年高二上学期第二次阶段检测数学试题河南省林州市第一中学2021-2022学年高二下学期2月开学考数学(文)试题宁夏银川市三沙源上游学校2021-2022学年高二上学期期末考试数学(文)试题
名校
解题方法
10 . 已知数列
的前
项和为
,满足
成等差数列.
(1)求
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/b8b240e0503c6c9386470ed111270063.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e40d3d21a30f32938be19ecd7a57fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30136113176ba7fe660e998d0873157.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/10250d6349278c2457c7523b7efa9003.png)
您最近一年使用:0次
2020-05-06更新
|
207次组卷
|
2卷引用:江西省百所名校2019-2020学年高三第四次联考数学(理)试题