1 . 已知数列
满足
,
.
(1)求数列
的通项公式;
(2)设数列
的前
项和为
,求满足
的所有正整数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f4e1236d7dc0366d9523d0cbb426be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992bfe7f6a087a4d0056a94f52c2d271.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe0b9871c7f98572265797fbc299805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2021-06-16更新
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1926次组卷
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7卷引用:4.1 数列-2021-2022学年高二数学尖子生同步培优题典(苏教版2019选择性必修第一册)
(已下线)4.1 数列-2021-2022学年高二数学尖子生同步培优题典(苏教版2019选择性必修第一册)江苏省南通学科基地2021届高三高考数学全真模拟试题(五)(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)广东省梅州市大埔县虎山中学2022届高三上学期第二次段考(月考)数学试题(已下线)第20讲 数列的通项公式-2022年新高考数学二轮专题突破精练(已下线)专题6-1 数列递推求通项15类归纳-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)(已下线)专题6-1 数列递推与通项公式22种归类 -1
2 . 在数列
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da9c2f611ca5c970365563206b89da6.png)
_______ .
![](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/f2f6884897f750ce9e5c189b2a91b1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da9c2f611ca5c970365563206b89da6.png)
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2021-07-30更新
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1579次组卷
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3卷引用:试卷11(第1章-4.1数列)-2021-2022学年高二数学易错题、精典题滚动训练(苏教版2019选择性必修第一册)
(已下线)试卷11(第1章-4.1数列)-2021-2022学年高二数学易错题、精典题滚动训练(苏教版2019选择性必修第一册)河南省开封市2020-2021学年高二下学期期末考试数学(文)试题福建省龙岩第一中学2021-2022学年高二上学期开学考试数学试题
3 . 如图,此形状出现在南宋数学家杨辉所著的《详解九章算法·商功》中,后人称为“三角垛”.“三角垛”最上层有1个球,第二层有3个球,第三层有6个球,….设第n层有
个球,从上往下n层球的总数为
,则( ).
![](https://img.xkw.com/dksih/QBM/2022/11/11/3107250632925184/3109627372290048/STEM/efca0357a8ba4cc190911c7aa5b424cf.png?resizew=102)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://img.xkw.com/dksih/QBM/2022/11/11/3107250632925184/3109627372290048/STEM/efca0357a8ba4cc190911c7aa5b424cf.png?resizew=102)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知数列
满足
,
(
).
(1)求证:数列
为等差数列,并求数列
的通项公式;
(2)若数列
满足
,
.求证:①
;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0ae8af1b4dfc31c317fcbe291d28b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d971b3e74014e2a8eb7e90f4529b42f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a64d86bd0b4602578d910322adc1b.png)
![](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/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50acad64dadd19118cf003e256adaee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47f8f1b85895c28178f41fd154f76c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c8e6c222a1753a6519b3864e244aca.png)
您最近一年使用:0次
解题方法
5 . 已知数列
中,
,若
,且
、
、
三点共线(该直线不过点
),则数列
的通项公式为( )
![](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/38b65f875c5ad6a5c95b259db45a18f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 若数列
的前n项和为
,
,且数列
满足__________.
在①
,②
这两个条件中任选一个补充在上面的横线上,并解答.
(1)求
,
;
(2)求数列
的通项公式.
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c224ee3a4d9f857aa6e115ef5a91e02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbbb34ea0c9f49b69391728acb484cd1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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解题方法
7 . 数列
中,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b28ace5a1950814ee9f19621acde63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe44dab672c37b60f97de0040be87a.png)
A.900 | B.9902 | C.9904 | D.10100 |
您最近一年使用:0次
8 . 已知等差数列
公差大于零,且
,
,
,
成等比;数列
满足
,
(
,
).
(1)求数列
和
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94ea0dd8c593f783a779cd256ab9a1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.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
名校
解题方法
9 . 已知数列
满足
,
是数列
的前
项和,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336b440f0b1c1064a22284eab9665e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2021-08-03更新
|
314次组卷
|
4卷引用:4.1 数列-2021-2022学年高二数学尖子生同步培优题典(苏教版2019选择性必修第一册)
(已下线)4.1 数列-2021-2022学年高二数学尖子生同步培优题典(苏教版2019选择性必修第一册)2023版 苏教版(2019) 选修第一册 突围者 第4章 专项拓展训练2 数列求和方法江西省上饶市2020-2021学年高一下学期期末数学(理)试题河南省洛阳第一高级中学2021-2022学年高二上学期第一次月考数学试题
2017高二·全国·课后作业
10 . 把一个正方形等分成9个相等的小正方形,将中间的一个正方形挖掉(如图(1));再将剩余的每个正方形都分成9个相等的小正方形,并将中间的一个正方形挖掉(如图(2));如此进行下去,则
(1)图(3)共挖掉了多少个正方形?
,则这些正方形的面积之和为多少?
(1)图(3)共挖掉了多少个正方形?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ec1e326713ddcd6dd66a24a809bdb8.png)
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2017-11-27更新
|
517次组卷
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5卷引用:本章回顾4
(已下线)本章回顾4(已下线)2.5 等比数列的前n项和—《课时同步君》高中数学人教版 必修5 第二章 数列 2.5 等比数列前n项和(已下线)第五篇 向量与几何 专题20 分形几何 微点1 分形几何苏教版(2019)选择性必修第一册课本习题第4章复习题