名校
1 . 若等差数列
和等比数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa3236498f80bc9e0eb439736099353.png)
![](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/29282bfdd9bfad336adf4e127b7192cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa3236498f80bc9e0eb439736099353.png)
A.-1 | B.1 | C.-4 | D.4 |
您最近一年使用:0次
2019-06-14更新
|
1737次组卷
|
9卷引用:江西省赣州市南康区2019-2020学年高一下学期线上教学检测数学试题(二)
江西省赣州市南康区2019-2020学年高一下学期线上教学检测数学试题(二)【市级联考】河北省廊坊市2018-2019学年高二第二学期期中联合调研考试文科数学试题河北省廊坊市2018-2019学年高二第二学期期中联合调研考试文科数学试题【市级联考】河北省廊坊市2018-2019学年高二第二学期期中联合调研考试理科数学试题专题6.3 等比数列及其前n项和(练)【文】—《2020年高考一轮复习讲练测》(已下线)专题6.3 等比数列及其前n项和(练)-江苏版《2020年高考一轮复习讲练测》(已下线)狂刷26 数列的综合应用-学易试题君之小题狂刷2020年高考数学(理)宁夏银川市第二中学2020届高三下学期第一次模拟考试数学(理科)试题人教B版(2019) 选修第三册 一举夺魁 第五章 5.3.1 等比数列
2 . 在等差数列
中,
,
.
(1)求数列
的通项公式;
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d99b93c12e83ab84110fa2afd66d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e338f282e35e43868742f706a70f1d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a80b5bc86b9090580f082f33b3092c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
您最近一年使用:0次
3 . 已知等差数列
满足:
,
,
的前
项和为
.
(1)求
及
;
(2)令![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8107120e073023ad75e7eaaddb1636e6.png)
,记数列
的前
项和为
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6278d3cc0086c7aab6ac20712c7d0bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbcd66661bbf309a42b56bee0c89d21.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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8107120e073023ad75e7eaaddb1636e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52227e660b1301ddc2c2e46d21fe04da.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
4 . 已知数列
为公差不为零的等差数列,
,且
,
,
成等比数列
(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/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4947c146bb958c7f87be18e595451eed.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
2019-05-18更新
|
1099次组卷
|
3卷引用:江西省南昌市新建区第一中学2020-2021学年高一下学期第一次月考数学试题
名校
5 . 已知数列{
}满足
,
(
).
(1)求
,
,
的值;
(2)证明:数列{
}是等差数列,并求数列{
}的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dccc60738f39c78238b0670e4f319b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)证明:数列{
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7e761be88728b3db50c2abd4377c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2019-05-07更新
|
1137次组卷
|
4卷引用:江西省上饶市横峰中学2018-2019学年高一下学期第三次月考数学试题
6 . 已知等差数列
满足
.
(1)求
通项公式
;
(2)设等比数列
满足
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c775a4590a6f876583f419488164452.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37e2467de339aee3623b7207bbc1a12.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
7 . 设等差数列
的前
项和
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7fb9350607545d20c514c6515f5590.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/4834730a9ca84eef3d53965009f8c2c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7fb9350607545d20c514c6515f5590.png)
A.15 | B.27 | C.18 | D.12 |
您最近一年使用:0次
8 . 在公差不为0的等差数列
中,
成等比数列,则公差
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c34467b312d617466a3f7e15646c27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2019-04-29更新
|
587次组卷
|
5卷引用:【校级联考】江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高一下学期期中考试数学试题
名校
9 . 在等差数列
中,若
,则
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdd795838311fec7cf7572d8e1be92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520f907d998b6ca7466948ab5a7ff76c.png)
A.13 | B.14 | C.15 | D.16 |
您最近一年使用:0次
2019-04-15更新
|
1360次组卷
|
4卷引用:江西省南昌市豫章中学2019-2020学年高一下学期5月月考
名校
10 . 已知数列
中,
,又数列
是等差数列,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d340caad1a98632cf41f029701e68ac4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0b53ddd01ed8617540f85ce89ce82d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
A.0 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-03-28更新
|
1396次组卷
|
7卷引用:江西省赣州市崇义县崇义中学2019-2020学年高一下学期开学考试数学(文)试题