解题方法
1 . 在等差数列
中,
,
.
(1)求数列
的通项公式;
(2)设
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9290863e361ae222f73740dd5cb3f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f68c2550f0fb441088dca071ecf31f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f6976d7e1ff269a404c38b56422616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2 . 已知数列
的前
项和为
,
, 从条件①、条件②和条件③中选择两个能够确定一个数列的条件,并完成解答.
(条件①:
; 条件②:
; 条件③:
.)
选择条件 和 .
(1)求数列
的通项公式;
(2)设数列
满足
,并求数列
的前
项的和
![](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/7fdfee1c6a7a205e25d2b24d6ac8942e.png)
(条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ba808c24aeae6a2f34b98ae5ec04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97034664bd213a31e81b9625f83d0e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3cf5c69373f519a82a48ad060f2d46.png)
选择条件 和 .
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9ebf05ca12f9da810b2b10e066ececf.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
2022-05-02更新
|
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9卷引用:北京市房山区房山中学2021-2022学年高二下学期期中考试数学试题
北京市房山区房山中学2021-2022学年高二下学期期中考试数学试题山西省山西大学附属中学校2022届高三三模(总第七次模块)文科数学试题山西省山西大学附属中学校2022届高三三模(总第七次模块)理科数学试题四川省雅安市雅安中学2021-2022学年高一下学期期中数学试题(已下线)专题24 等差数列及其前n项和-3(已下线)第3讲 等差数列的前 项和及性质10大题型(5)(已下线)4.2.2 等差数列的前n项和公式(3)(已下线)专题4 等差数列的性质 微点2 等差数列前n项和的性质北京市丰台区2023-2024学年高二上学期期末模拟数学试题
解题方法
3 . 已知
为等差数列,
,
.
(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/56821e08237a2068bc961d974b9b5ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545a7fae7d5f2c123f375e70eec0a303.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
您最近一年使用:0次
2024-01-13更新
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4卷引用:吉林省长春博硕学校2023-2024学年高二上学期期末考试数学试卷
吉林省长春博硕学校2023-2024学年高二上学期期末考试数学试卷(已下线)5.2.2 等差数列的前n项和(3知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)第五章:数列章末重点题型复习(1)江西省宜春市丰城市第九中学2023-2024学年高二下学期第一次月考数学试题
名校
4 . 已知数列
的前
项和
,若
,则
( )
![](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/5dd2102dd2b9b47874e5bf8a9a01255a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8f5e7c81a6ec4b237380425909ef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a8941ed4a8a0b8829728939e0be0f9.png)
A.578 | B.579 |
C.580 | D.581 |
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|
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6卷引用:河南省部分重点中学2022-2023学年高二下学期5月质量检测数学试题
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5 . 已知数列
是首项为1的等差数列,公差
,设数列
的前
项和为
,且
,
,
成等比数列.
(1)求
的通项公式;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.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/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b142dc2e840d7ca31a533aee98f80fee.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
2023-04-08更新
|
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3卷引用:安徽省宣城市2023届高三第二次调研测试数学试题
解题方法
6 . 已知各项都为正数的数列
的前
项和为
, 且满足
.
(1)求数列
的通项公式;
(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/41f511439b2d370105f898801e275189.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fa4fa7f5b494c3d56758849bd79790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.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 . 若等差数列
的首项
,
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681967bfbdcdae96320e06da896b4da4.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17f3bfd1e8c6d6284efdb69bcbada97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d774634e468a66a09297481b477cf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3c2263e48afd4f7b961a1ed4539222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681967bfbdcdae96320e06da896b4da4.png)
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2024-01-09更新
|
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3卷引用:天津市武清区河西务中学2023-2024学年高二上学期第三次统练数学试卷
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解题方法
8 . 数列
中,
,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceadb1e1eae3fea1e8a277e6985cbfdd.png)
(1)求
,并求数列
的通项公式;
(2)设
,求
;
(3)设
,是否存在最大的;正整数
,使得对任意
均有
成立?若存在求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c43f5d0392cef546f47d63233e21e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceadb1e1eae3fea1e8a277e6985cbfdd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f169e5f755bef52e8b13041e64f76b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41081a630c44b09c998ae9246b80f17f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b884205af20f9947cfd8fd829e9895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe977dbfe794d737902609918f4dec63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33d646ac4330f55fed137f52bbcdaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
9 . 已知等差数列
前三项的和为
,前三项的积为8.
(1)求等差数列
的通项公式;
(2)若
,
,
成等比数列,求数列
的前10项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](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/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91adba8efbf964e9e35547b0fd0ea36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3cf40c3b4e46c1c52d7eadff64a9ec4.png)
您最近一年使用:0次
2023-09-02更新
|
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5卷引用:陕西省咸阳市2023-2024学年高二上学期期末教学质量检测数学试题
陕西省咸阳市2023-2024学年高二上学期期末教学质量检测数学试题(已下线)4.3.1等比数列的概念(第1课时)(分层作业)-【上好课】高二数学同步备课系列(人教A版2019选择性必修第二册)(已下线)FHgkyldyjsx14广东省四校2024届高三上学期第一次联考数学试题福建省宁德第一中学2023-2024学年高二上学期9月第二次考试数学试题