1 . 记
为数列
的前
项和,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22bc4af829eecf8a58e483a212b596.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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6838fb21fd9aecf3ada96df9b5ecdc74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc22bc4af829eecf8a58e483a212b596.png)
您最近一年使用:0次
2021-07-31更新
|
347次组卷
|
5卷引用:四川省雅安市天立高级中学2023届高三上学期9月月考数学(文)试题
名校
解题方法
2 . 已知数列{an}与{bn}满足:
,且{an}为正项等比数列,a1=2,b3=b2+4.
(1)求数列{an}与{bn}的通项公式;
(2)若数列{cn}满足
,Tn为数列{cn}的前n项和,证明:Tn<1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac589532d72d4a4548213bc7577e9a6f.png)
(1)求数列{an}与{bn}的通项公式;
(2)若数列{cn}满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27fe5d5b8a769a85192af60c927f2d46.png)
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名校
3 . 若
是等比数列,且前
项和为
,则
=( )
![](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/78d325267514fc1827c5b6e220982f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.-1 | D.1 |
您最近一年使用:0次
名校
4 . 已知
是等比数列,
是其前
项积,若
,则
( )
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba697043c6f53fc20669e6db0292f68c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4e70b360f988fdbd92300ab22c4613.png)
A.1024 | B.512 | C.256 | D.128 |
您最近一年使用:0次
2021-06-11更新
|
1865次组卷
|
7卷引用:四川省雅安市2022届高三第三次诊断性考试数学(理)试题
四川省雅安市2022届高三第三次诊断性考试数学(理)试题四川省雅安市2022届高三第三次诊断性考试数学(文)试题陕西省西安市高新第一中学2021届高三下学期二模理科数学试题(已下线)考点22 等比数列及其前n项和-备战2022年高考数学(文)一轮复习考点帮(已下线)考点23 等比数列及其前n项和-备战2022年高考数学(理)一轮复习考点帮(已下线)考点10 等比数列-2022年高考数学一轮复习小题多维练(新高考版)甘肃省天水市第一中学2021-2022学年高三上学期第三次考试数学(理科)试题
解题方法
5 . 已知等比数列
的公比为
,前
项和为
,
,且
是
与
的等差中项.
(1)求
的通项公式;
(2)设
,
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e15be6eb86b5f1746b0036a87c9ca7.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/964df3e9308711d7e14fb624b0c25e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86e2e42b4aa93db9241103e7f61766c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a37f1b45e929b42044626edb63681fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9d22787faf3cab18b8fa922cc485008.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/6bda0b0b170a4c01c55b6888e5513ebe.png)
您最近一年使用:0次
名校
解题方法
6 . 已知等比数列
的公比为
,前n项和为
,
,且
是
与
的等差中项.
(1)求
的通项公式;
(2)设
,
的前n项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e15be6eb86b5f1746b0036a87c9ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964df3e9308711d7e14fb624b0c25e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911278aa8595846abac1972e1de59995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86e2e42b4aa93db9241103e7f61766c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a37f1b45e929b42044626edb63681fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9eb8044af0d676d3bac6d75bbb03aaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe67a436624c08645d0a96c7eba76f9.png)
您最近一年使用:0次
2021-05-17更新
|
1630次组卷
|
5卷引用:四川省雅安市2021届高三三模数学(文)试题
四川省雅安市2021届高三三模数学(文)试题(已下线)专题07 数列求和(裂项相消法)-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍(全国通用版)安徽省合肥市第九中学2021-2022学年高三上学期第一次阶段测验文科数学试题四川省绵阳东辰国际学校2020-2021学年高三下学期三诊数学(文)试题山东省潍坊市诸城繁华中学2023-2024学年高二下学期4月阶段检测数学试题
名校
7 . 数列
的前n项之和为
,
,
(p为常数)
(1)当
时,求数列
的前n项之和;
(2)当
时,求证数列
是等比数列.
![](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/1da6a7e488682c7b7eabfc99031bd193.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8050391385b496e9c059201e4f12600a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
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8 . 已知
是公差不为0的等差数列,
是
与
的等比中项,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36243198e5e20c56399e4ad5ac3c519.png)
A.-9 | B.0 | C.9 | D.无法确定 |
您最近一年使用:0次
2021-01-31更新
|
1672次组卷
|
7卷引用:四川省雅安市雨城区雅安中学2020-2021学年高一下学期4月月考数学试题
四川省雅安市雨城区雅安中学2020-2021学年高一下学期4月月考数学试题宁夏六盘山市高级中学2021届高三上学期期末考试数学(文)试题(已下线)专题03 等差数列与等比数列-备战2021届高考数学(理)二轮复习题型专练?(通用版)(已下线)专题03 等差数列与等比数列-备战2021届高考数学(文)二轮复习题型专练?(通用版)(已下线)综合测试卷(基础版)-【新教材优创】突破满分数学之2020-2021学年高二数学重难点突破(人教A版2019选择性必修第二册)陕西省西安市雁塔区第二中学2021-2022学年高一下学期第二次月考数学试题 黑龙江省牡丹江市第一高级中学2023-2024学年高二上学期1月期末考试数学试题
名校
解题方法
9 . 已知数列
满足
,
.
(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/07404ab51f404f9411f79bd4f1fde654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd54abebf3a42447b1106236123a0af.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07404ab51f404f9411f79bd4f1fde654.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a8100f98999e472945ab7050af50d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d52c973e5522e466aa1df8fa541cb2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
名校
10 . 已知
为等比数列,若
、
是方程
的两根,则
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07404ab51f404f9411f79bd4f1fde654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc6cbc60d8adddfad548dec6e9d5db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.![]() | B.![]() | C.![]() | D.以上都不对 |
您最近一年使用:0次
2020-12-09更新
|
736次组卷
|
5卷引用:四川省雅安中学2019-2020学年高一下学期期中数学试题
四川省雅安中学2019-2020学年高一下学期期中数学试题(已下线)突破4.3.1 等比数列课时训练-【新教材优创】突破满分数学之2020-2021学年高二数学课时训练(人教A版2019选择性必修第二册)第五章 数列(A基础卷)-新教材2020-2021学年高二数学尖子生培优AB卷(人教B版2019选择性必修第三册)江西省南昌市进贤县第一中学2020-2021学年高一下学期第一次月考数学(理)试题(已下线)4.3.1等比数列的概念与性质(2)