解题方法
1 . 已知等差数列
的前
项和为
.
(1)求
的通项公式;
(2)记数列
的前
项和为
,求
.
![](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/bfa31b22788e9567814c5dcdb0bcb662.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2023-12-17更新
|
635次组卷
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2卷引用:青海省西宁市部分学校2023-2024学年高二上学期期末联考数学试题
2 . 在等比数列
中,
,且
.
(1)求
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/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25210e080f01c3e6ffdb55ee546b474d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f234e1b3e2a1265d4cc8b225b9c2a154.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2023-03-24更新
|
411次组卷
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3卷引用:青海省西宁市大通回族土族自治县2023届高三一模数学(文)试题
名校
解题方法
3 . 在数列
中,
.
(1)求
的通项公式;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90355da4bf2be381e54b2bac3d94a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/298c750ca3c46f95780a0ecfd726fa68.png)
您最近一年使用:0次
2023-02-24更新
|
3175次组卷
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6卷引用:青海省西宁市2023届高三一模文科数学试题
青海省西宁市2023届高三一模文科数学试题山东省日照市2023届高三一模考试数学试题(已下线)山东省日照市2023届高三一模考试数学试题变式题17-22江苏省连云港市灌南高级中学2023届高三下学期3月解题能力竞赛数学试题山东省青岛第十九中学2022-2023学年高二下学期4月月考数学试题专题13数列(解答题)
解题方法
4 . 已知
是等比数列
的前n项和,
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b32f441deaedaea873e26dca29dd7ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156b3e186ac3226077ffae55a3168465.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644a4e7cd7460a0d96ccae5b192e684a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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5 . 已知数列
满足
,且
,
表示数列
的前n项和,则使不等式
成立的正整数n的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21674b6a55437bd6f9125330c04f6af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd28fa524fbb3c454d64ca023e3f2c0c.png)
您最近一年使用:0次
解题方法
6 . 已知公差为整数的等差数列
满足
,
,则
的前11项和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde3113b24d3e16cc90612fb67865cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ce62149b4bd48a9e52c5bce4e3317e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
您最近一年使用:0次
解题方法
7 . 设数列
的前n项和为
,
.
(1)证明:数列
是等比数列.
(2)若数列
的前m项和
,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67fd0eb54561cd1df683a08cf049bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/312fddeb97c72b0aa3a0408dfdc2f067.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f05d87eeb30421f44e70dda9e49fe72.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2228a53178b3ce08e34591a209fba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b343c968c786d3bc372185ca27d99d2c.png)
您最近一年使用:0次
2022-06-23更新
|
1883次组卷
|
4卷引用:青海省海东市第一中学2022届高考模拟(一)数学(理)试题
青海省海东市第一中学2022届高考模拟(一)数学(理)试题(已下线)专题26 数列的通项公式-3(已下线)专题25 等比数列及其前n项和-1上海市莘庄中学2023-2024学年高二上学期10月月考数学试题
8 . 若
为数列
的前n项和,
,且
.
(1)求数列
的通项公式;
(2)若
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c15b38e42490c65be958f53c40f6fd7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f2b90df8cdcf57a6eb7a60e5ee9fcdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
解题方法
9 . 已知在数列
中,
,
,且该数列满足
.
(1)求
的通项公式;
(2)已知
是数列
的前n项和,且
,求
.
![](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/10ad8f29672ebb40d03b38c2313ab064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa9bff815d1d52b9abb719b6413125f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb8748f0b7c824d7e668d095c2b9298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
您最近一年使用:0次
2022-01-24更新
|
713次组卷
|
6卷引用:青海省海东市2022届高考一模数学(理)试题
解题方法
10 . 已知数列{an}满足a1=1,Sn=
.
(1)求数列{an}的通项公式;
(2)若bn=(-1)n+1
,数列{bn}的前n项和为Tn,求T2 021.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8268c0ea92c30582eb9d0a7097e54d75.png)
(1)求数列{an}的通项公式;
(2)若bn=(-1)n+1
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28087a6f4a6093dc08995e81b3dfc45f.png)
您最近一年使用:0次
2022-01-09更新
|
936次组卷
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7卷引用:青海省西宁市海湖中学2022-2023学年高三上学期期末考试数学(理)试题
青海省西宁市海湖中学2022-2023学年高三上学期期末考试数学(理)试题河南省郑州市2021届高三二模数学(理科)试题(已下线)专题04数列求和及综合应用之测案(文科)第一篇 热点、难点突破篇-《2022年高考文科数学二轮复习讲练测》(全国课标版)(已下线)专题04数列求和及综合应用 测案 (理科)第一篇 热点、难点突破篇-《2022年高考数学二轮复习讲练测》(全国课标版)西藏林芝市、日喀则市2021届高三下学期第二次联考数学(理)试题(已下线)第04讲 复习课-数列-【寒假自学课】2022年高二数学寒假精品课(苏教版2019选择性必修第二册)西藏林芝市第二高级中学2023届高三上学期第三次月考数学(理)试题