1 . 如图,某数阵满足:每一行从左到右成等差数列,每一列从上到下成公比相同的等比数列,数阵中各项均为正数,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550427147909013f0491fe8a24d9a5d4.png)
________ ;在数列
中的任意
与
两项之间,都插入
个相同的数
,组成数列
,记数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4331b9fb70a31f8f02b003eea6054c4e.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75e8a3038e0c054a23817196079209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e9bee3a8f1a37ac6c60ae8796027eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/550427147909013f0491fe8a24d9a5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6fd28652117b5c5c61d9032bf78f259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f867d0ca7748f1d788aa81ebaf9bb3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f91e65e0726d85ac43389dc345abda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ea71117a2bf34302a0d2017e1c60e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c75f960d4e68b4405a28cae0eaceda1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4331b9fb70a31f8f02b003eea6054c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb936f339f336ed6cc820b803dbd9caf.png)
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2 . 记
是公差不为
的等差数列
的前
项和,若
,
.
(1)求
的通项公式;
(2)设
,
,求数列
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.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/95f12f7ae5b35d4d32ad6e68c4e57b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7961605fa4f2c480c67eed1d9e5b43ce.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a24e6bcf49b8e45531a2d4e4c70c181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3753a8338633d5764d376c1be2d884ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2def5aa62f497709e1bd8258583d62fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c35926bf4b8e2c163c20942173cffcce.png)
您最近一年使用:0次
2023-05-26更新
|
1355次组卷
|
3卷引用:山东省聊城市2023届高三三模数学试题
名校
解题方法
3 . 已知
,
分别为等差数列,等比数列,且
,
,
,
.
(1)求
,
的通项公式;
(2)求数列
的前n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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a125436ee7f5ecf96dd4511aa9439d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab7d59ce066c8f0b346719003f8e28f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa2bacb35e4485ccbeee092d11aa4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-05-25更新
|
517次组卷
|
5卷引用:山东省日照神州天立高级中学2023-2024学年高三上学期期中模拟考试2数学试题
4 . 在等差数列
中,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c089f3743bf7a2b0a0a23c1c11fae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf79a73c34b2a23d06aa079bf1276955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9bbe98100c8067ff36ac536d043a85.png)
A.14 | B.12 | C.10 | D.8 |
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名校
解题方法
5 . 已知等差数列
的前
项和为
,且满足
.
(1)求
的通项公式;
(2)若数列
满足
,求
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/4933a247acadf79d4ba4fce9fab631d7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f55ee5533c4eb426b2cd0f911458ba.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
2023-05-20更新
|
1893次组卷
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6卷引用:山东省济南市2023届高三三模数学试题
6 . 给定无穷数列
,若无穷数列
满足:对任意
,都有
,则称
与
“接近”,则( )
![](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/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3dd644fc0373b59f11179da6a242bed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.设![]() ![]() ![]() |
B.设 ![]() ![]() ![]() ![]() |
C.设数列![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.已知![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 设数列
是公差为
的等差数列,已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19231370eadee62f815a7aceb38e9f6.png)
(1)求数列
的通项公式;
(2)若
,且
的前n项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe9369621149328a9e5629bc5314604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a19231370eadee62f815a7aceb38e9f6.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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
2023-05-16更新
|
615次组卷
|
6卷引用:山东省青岛市九校联盟2022-2023学年高二下学期期中考试数学试题
名校
8 . 设等差数列{an}的前n项和为Sn,a1≠0,a1+a5=3a2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c87874491239ab5ed184ac4b9f82ff.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c87874491239ab5ed184ac4b9f82ff.png)
您最近一年使用:0次
2023-05-05更新
|
1826次组卷
|
4卷引用:山东省济宁市第一中学2024届高三上学期12月月考数学试题
2023·全国·模拟预测
解题方法
9 . 已知数列
的前n项和为
,
,
,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/f470899b66a25fd79a14aa1b05bc93db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4c492ef0c41f7a2f4c15fb27df44a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de19a41401b6fd32d88a782466e585f.png)
A.20 | B.19 | C.18 | D.17 |
您最近一年使用:0次
2023-04-27更新
|
528次组卷
|
4卷引用:山东省烟台市芝罘区高中协同联考2023届高三三模数学试题
山东省烟台市芝罘区高中协同联考2023届高三三模数学试题山东省潍坊市诸城繁华中学2024届高三上学期12月月考数学试题(已下线)2023年普通高等学校招生全国统一考试数学押题卷(二)(已下线)专题突破卷16 求数列的通项公式
解题方法
10 . 已知等差数列
的公差为2,前
项和为
,且
成等比数列.
(1)求数列
的通项公式;
(2)若
,求数列
的最大项.
![](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/4f8aa010f7105f3ca426c8a34880abd2.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e82fc856afcc2df8d1a28c250a1b7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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