解题方法
1 . 在数列
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
__________ .(用指数式表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fe60a72743ebfe2f65548740f98f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
您最近一年使用:0次
2 . 已知数列
,且
.
(1)求
的通项公式;
(2)设
,若
的前n项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440cbc45044687ad34f755f214f847f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e63850d4635eb357146973ade907ea.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
解题方法
3 . 已知数列
中,
,若对任意
,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e33756adee6c95be03d4df2178a504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9733bcf68e01257915371ff05cfc08d8.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/04c2864e2ec3416cc4c081ac1f71a0af.png)
您最近一年使用:0次
2023-11-03更新
|
1022次组卷
|
5卷引用:甘肃省酒泉市四校联考期中2023-2024学年高二上学期期中数学试题
名校
解题方法
4 . 已知数列
的前n项和为
,且满足
.则数列
的通项公式为________ ,
的最大值为________ .
![](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/312fddeb97c72b0aa3a0408dfdc2f067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f03ff8c63b689bcd08af3505d709361.png)
您最近一年使用:0次
2023-04-26更新
|
636次组卷
|
7卷引用:甘肃省武威市天祝一中、民勤一中、古浪一中等四校联考2023-2024学年高二上学期11月期中考试数学试题
甘肃省武威市天祝一中、民勤一中、古浪一中等四校联考2023-2024学年高二上学期11月期中考试数学试题河南省平顶山市第一中学2022-2023学年高二下学期期中考试数学试题(已下线)模块一 专题2 数列的通项公式与求和【讲】(高二下人教B版)(已下线)模块一 专题3 数列的通项公式与求和【讲】(高二下北师大版)甘肃省天水市天水三中、天水九中、清水六中、新梦想高考复读学校2024届高三上学期12月联考数学试题(已下线)专题05 等比数列与数列综合求和-2023-2024学年高二数学期末复习重难培优与单元检测(人教A版2019)(已下线)专题10 数列通项公式的求法 微点5 构造法
5 . 已知数列
满足
,
,设
.
(1)求
;
(2)求
的通项公式.
![](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/a7cb5372b7e7aa8a7f84529c4e9b863b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980d51ba3340a31964fbec9e6f243ca6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ac424c330d734f49502f8a3190efc9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
解题方法
6 . 已知数列
满足
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853eace02560e7f1490694276c29a856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a35e205507a977e6d0438370a6a3a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b38474a7edd5aeae4f09490f94a64ac.png)
A.57 | B.31 | C.32 | D.33 |
您最近一年使用:0次
2022-10-19更新
|
799次组卷
|
3卷引用:甘肃省天水市第一中学2022-2023学年高二上学期期中数学试题
甘肃省天水市第一中学2022-2023学年高二上学期期中数学试题甘肃省庆阳第六中学2022-2023学年高二上学期第一次月考数学试题(已下线)第四章 数列章末测试卷-【高分突破系列】2022-2023学年高二数学同步知识梳理+常考题型(人教A版2019选择性必修第二册)
名校
解题方法
7 . 已知数列{
}的前n项和
满足
.
(1)证明数列{
}为等比数列,并求出数列{
}的通项公式.
(2)已知数列
的前n项和为
,是否存在m,使得数列
为等差数列?若存在,求出m的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04922407ca346a354bfc1bd3d89aeb1d.png)
(1)证明数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716929261c63800d6d26a93a8edcd863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbcd5d62e12d04ed529cddb1a792053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83fc406723f7c55198fa069e3077d42.png)
您最近一年使用:0次
8 . 已知数列
中,
.
(1)证明:数列
和数列
都为等比数列;
(2)求数列
的通项公式;
(3)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fba28102f3f22c40de2dd827fcae86.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0f439a2c04c1bd4bd9518e0adf893f.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2022-03-27更新
|
631次组卷
|
7卷引用:甘肃省武威市天祝一中、民勤一中、古浪一中等四校联考2023-2024学年高二上学期11月期中考试数学试题
甘肃省武威市天祝一中、民勤一中、古浪一中等四校联考2023-2024学年高二上学期11月期中考试数学试题甘肃省定西市临洮中学2021-2022学年高二上学期第二次月考理科数学试题山西省介休市第一中学校2022-2023学年高二上学期12月月考数学试题湖南省郴州市嘉禾县第一中学2021-2022学年高二上学期期末模拟数学试题内蒙古自治区兴安盟乌兰浩特市第四中学2023-2024学年高二下学期第一次月考数学试题(已下线)2022年高考天津数学高考真题变式题10-12题(已下线)2022年高考天津数学高考真题变式题16-18题
9 . 数列
中,
,
,设
.
(1)求证:数列
是等比数列;
(2)求数列
的前
项和
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780a1b00ea3a4fec3069509041c84511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711f7c80bc7dbd8e378f095a573cc8f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f1179414a71459a3cfa134ace94302e.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819bc4680859f96a1bd028a56db81211.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
2021-11-20更新
|
946次组卷
|
4卷引用:甘肃省会宁县第一中学2021-2022学年高二上学期期中考试数学(理)试题
20-21高二·全国·课后作业
10 . 已知数列{an}满足a1=
,Sn是{an}的前n项和,点(2Sn+an,Sn+1)在
的图象上.
(1)求数列{an}的通项公式;
(2)若cn=
n,Tn为cn的前n项和,n∈N*,求Tn.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a810acf95bbbcc72d30d2bd65f6aea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de1f968c2f249f2af2aba419add383f.png)
(1)求数列{an}的通项公式;
(2)若cn=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1034ab68353209cd7f4a8c33371263c9.png)
您最近一年使用:0次