名校
解题方法
1 . 数列
满足
,前12项和为158,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5491164a81565a32285b5b652672486b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
A.4 | B.5 | C.6 | D.7 |
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2024-01-16更新
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7卷引用:广东省深圳市深圳中学2024届高三下学期开学模拟测试数学试题(一)
(已下线)广东省深圳市深圳中学2024届高三下学期开学模拟测试数学试题(一)广东省广州市六区2023-2024学年高二上学期期末教学质量监测数学试题广东省广州市白云区2023-2024学年高二上学期期末教学质量监测数学试题(已下线)高二数学开学摸底考 01(人教A版,范围:空间向量与立体几何+直线与圆+圆锥曲线+数列)-2023-2024学年高二数学下学期开学摸底考试卷(已下线)专题2 奇偶分项 分组并项 练(经典好题母题)山东省泰安市泰安一中2023-2024学年高二上学期期末数学试题(已下线)专题2 数列的奇偶项问题【练】(高二期末压轴专项)
2 . 若数列{an}满足a1=1,a2n+1-a2n-1=0,a2n+2+a2n=-2n,则数列{an}的前61项和为____ .
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2024-01-11更新
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3卷引用:广东省深圳市深圳中学2024届高三下学期开学模拟测试数学试题(一)
(已下线)广东省深圳市深圳中学2024届高三下学期开学模拟测试数学试题(一)江苏省2023-2024学年高二上学期期末迎考数学试题(S版B卷)宁夏石嘴山市平罗中学2023-2024学年高二上学期期末数学(重点班)试题
名校
解题方法
3 . 已知数列
是首项为25,公差为
的等差数列,则数列
的前30项的和为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74eb8a7738402df52d4a97262b85ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231aa49898ba213a9df4d337b6a4e88b.png)
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2024-01-05更新
|
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5卷引用:广东省中山市中山纪念中学2024届高三下学期开学模拟测试数学试题(一)
4 . 已知数列
为正项等差数列,数列
为递增的正项等比数列,
,
.
(1)求数列
,
的通项公式;
(2)数列
满足
,求数列
的前2n项的和.
![](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/bc0a3b0df6f870634d968340ff83e385.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a68ca53ab0a60f6e817e9b2f3f769c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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2023-08-05更新
|
1125次组卷
|
4卷引用:广东省深圳市罗湖区部分学校2024届高三上学期开学模拟数学试题
广东省深圳市罗湖区部分学校2024届高三上学期开学模拟数学试题黑龙江省哈尔滨德强学校2024届高三上学期开学考试数学试题(二卷)(已下线)单元提升卷08 数列(已下线)第07讲 拓展二:数列求和(10类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第二册)
解题方法
5 . 已知数列
和
满足
,
,
,
.
(1)求
的通项公式;
(2)令
,求数列
的前
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/c4dbac336540b0218c35e845259a9d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1fd4d833a7d17789897c6aa1014136.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a2ad1d67addcaed3d8e0dbee9c2f1d.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde68029b5ecbba1f615e05f13699870.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd85b79372dc6e596d465f738c3c300.png)
您最近一年使用:0次
6 . 如图,用相同的球堆成若干堆“正三棱锥”形的装饰品,其中第1堆只有1层,且只有1个球;第2堆有2层4个球,其中第1层有1个球,第2层有3个球;
;第
堆有
层共
个球,第1层有1个球,第2层有3个球,第3层有6个球,
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36243198e5e20c56399e4ad5ac3c519.png)
____________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36962a0cdf4f081539aa4f55aa60cc31.png)
____________ .[参考公式:
]
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.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/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36243198e5e20c56399e4ad5ac3c519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36962a0cdf4f081539aa4f55aa60cc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6921dc242c40a1d342e3b033fc3aa9c5.png)
![](https://img.xkw.com/dksih/QBM/2023/2/8/3170484546912256/3171663255953408/STEM/08f9a5215c4644cc8e908c1257bf353f.png?resizew=376)
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2023-02-10更新
|
413次组卷
|
2卷引用:广东省新高考2023届高三下学期开学调研数学试题
7 . 已知数列
的首项
,且满足
.
(1)求证:数列
为等比数列;
(2)设数列
满足
求最小的实数m,使得
对一切正整数k均成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6545b8eca1c4223ed701a199a85683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7643e8b7aa32ebf299048417a94432dc.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54597b58e4ba54fb4f77423e4fb08b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de13c57bc94bc8e1c271f02d684a3c11.png)
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2022-11-18更新
|
1162次组卷
|
3卷引用:广东省广州市执信中学2024届高三上学期开学测试数学试题
名校
解题方法
8 . 设数列
的前
项和为
,
,数列
满足
,
.
(1)求数列
的通项公式;
(2)若数列
满足
,求数列
的前99项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3448c8d824eefd1a5d25e07cd0650b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195431ccf2756a0db26f14b7b91a32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674d50ed963e2ba89f6df6a43d79b70e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ad4897a05a6a26b10e2d8379137fa1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28ef6f1b2279af482557a8ea46f2e43.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733969643c55ec0ddfddd781a6545778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92729568206860f6b24a5d7ba27a8025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733969643c55ec0ddfddd781a6545778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d2c5bf21b5d5e0b5df02211ca39c4d.png)
您最近一年使用:0次
9 . 已知数列
满足
,
,
.
(1)求数列
的通项公式;
(2)求数列
的前
项的和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1820558459436296fabb142cfc47244b.png)
(1)求数列
![](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/e2d51f9147b8265c0276c1f2c2659197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
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2022-09-01更新
|
957次组卷
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5卷引用:广东省部分学校2023届高三上学期入学摸底联考数学试题
10 . 已知集合
,
,将A与B中的所有元素按从小到大的顺序排列构成数列
(若有相同元素,按重复方式计入排列)为1,3,3,5,7,9,9,11,….,设数列
的前n项和为
.
(1)若
,求m的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8f174fa076d52de971615fcaf5e0a8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b42bcfa645de5ea9ccaa8ff472691b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89dda43a251d13dba5ab27174d6ca49.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34a901aa78366ac960f5f4e7f1fcbac.png)
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