名校
解题方法
1 . 在数列
中,若
且
.
(1)求证:数列
是等差数列;
(2)求数列
的通项公式
及数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2815b24f5a89be7ae53aed93182e8988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873654cf5b27ad472c798b3b047153b4.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad83668ff336589f82a2cd04db9f9947.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62aadbfe3ef08851f220c3371684a1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-06-04更新
|
2447次组卷
|
4卷引用:湖北省黄冈中学2021届高三下学期5月适应性考试数学试题
湖北省黄冈中学2021届高三下学期5月适应性考试数学试题(已下线)第17题 数列解答题的两大主题:通项与求和-2021年高考数学真题逐题揭秘与以例及类(新高考全国Ⅰ卷)(已下线)考点20 数列的概念与简单表示法-备战2022年高考数学(文)一轮复习考点帮江苏省宿迁市沭阳如东中学2022-2023学年高三上学期9月阶段测试(三)数学试题
2 . 已知数列
满足
,且
.
(1)求证:数列
是等差数列,并求出数列
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/7190d4bdff95645920063a39c1ac2660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ad9f9a39c1dbf0e9e2007d9dc5c21a.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7cff8eadcec6863f526d0ad23e77fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](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)
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2020-04-06更新
|
1355次组卷
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5卷引用:湖北省十堰市第一中学2019-2020学年高一下学期4月月考数学试题
湖北省十堰市第一中学2019-2020学年高一下学期4月月考数学试题2020届山东省淄博市部分学校高三教学质量检测(二模)数学试题(已下线)冲刺卷06-决战2020年高考数学冲刺卷(山东专版)(已下线)提升套餐练06-【新题型】2020年新高考数学多选题与热点解答题组合练(已下线)第7篇——数列-新高考山东专题汇编
3 . 已知首项为
的数列
满足
,记数列
的前
项和为
.
(1)求
的值;
(2)求证:数列
是等差数列;
(3)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4ea13720f66cf0bac1e17dd1e05c7a.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/761eed1675f82dbe332cf200159272eb.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/340ea5c099596f891b6df420f66d0d09.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
4 . 已知数列
、
满足
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732ea816f1ba33d3fdd45313a5c13691.png)
(1)令
证明:
是等差数列,
是等比数列;
(2)求数列
和
的通项公式;
(3)求数列
和
的前n项和公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e728c2a5646fa8710c2dbc7bce6514b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732ea816f1ba33d3fdd45313a5c13691.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1304c266f07c7bf2a4aa14b30460342e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ef4c4439b36c2847b0056a116d56d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d813f3ca8db41a4db6c18eac30fef98.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(3)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
您最近一年使用:0次
2019-12-01更新
|
391次组卷
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2卷引用:湖北省黄冈市浠水县实验高级中学2019-2020学年高三12月月考数学(文)试题
5 . 数列
的前n项和记为
,
,
,
,
,
.
(1)求
的通项公式;
(2)求证:对
,总有
.
![](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/366dfedff1a1a96ec27650375b680059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3306609180547de8e956aca46a5daa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27570be5b1e6a8c58cb2aa9e69076ac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248091e08cab8686e118fe65af06ec5a.png)
您最近一年使用:0次
2019-10-29更新
|
624次组卷
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4卷引用:湖北省黄石市大冶市第一中学2019-2020学年高三文科复读班12月月考数学试题
6 . 成等差数列的三个正数的和等于15,并且这三个数分别加上2、5、13后成为等比数列{bn}中的b3、b4、b5.
(Ⅰ)求数列{bn}的通项公式;
(Ⅱ)数列{bn}的前n项和为Sn,求证:数列{Sn+
}是等比数列.
(Ⅰ)求数列{bn}的通项公式;
(Ⅱ)数列{bn}的前n项和为Sn,求证:数列{Sn+
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444287930368/1619444288266240/STEM/fb869952a2da4844bbb954ac11b6da73.png)
您最近一年使用:0次
2016-12-03更新
|
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