1 . 已知正项数列
满足
,记数列
的前n项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e9e35dae5c5c92b0a0161774cecf1b.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773c4e0d22b001a1f5eb74318f1fed06.png)
![](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/58e9e35dae5c5c92b0a0161774cecf1b.png)
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2 . 已知数列
中,
,则此数列的前
项和为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906d94f166e4f3a5178f199d953fadb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2022-12-15更新
|
630次组卷
|
3卷引用:新疆维吾尔自治区巴音郭楞蒙古自治州和静高级中学2022-2023学年高二上学期12月月考数学试题
新疆维吾尔自治区巴音郭楞蒙古自治州和静高级中学2022-2023学年高二上学期12月月考数学试题(已下线)江西省五市九校协作体2023届高三第一次联考文科数学试题变式题11-15宁夏育才中学2023届高三上学期第四次月考数学(理)试题
名校
解题方法
3 . 已知数列
满足
,
,数列
的前
项和
,
.若
,则
的最小值为_______________ .
![](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/d754bc529cfab94af50384ef686b191d.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cd702f2adc0e8f76f2642b768293bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ac522c95b654e0247d920ed5c6003a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2021-06-11更新
|
676次组卷
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4卷引用:百校联盟2021届高三5月教育教学质量监测 (全国I卷)数学(理)试题
百校联盟2021届高三5月教育教学质量监测 (全国I卷)数学(理)试题甘肃省民乐县第一中学2021届高三5月第二次月考数学(理)试题(已下线)热点08 利用“不动点”法巧解数列问题-2022年高考数学核心热点突破(全国通用版)【学科网名师堂】(已下线)考向29 数列求和(重点)
名校
解题方法
4 . 在数列
中,
,且
,则数列
的前
项和为__________ .
![](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/50f0f3c43c04db854f4ce4c7e2ce15a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fe5d3308d6d1a1a1b9bedcfd0ead88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/151e5633a5d0cc30b254167e3dda5803.png)
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2021-05-14更新
|
1161次组卷
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4卷引用:陕西省西安交通大学附属中学2021届高三下学期第四次模拟考试理科数学试题
陕西省西安交通大学附属中学2021届高三下学期第四次模拟考试理科数学试题(已下线)综合测试卷(基础版)-【新教材优创】突破满分数学之2020-2021学年高二数学课时训练(人教A版2019选择性必修第二册)(已下线)专题14 数列求和综合必刷100题-【千题百练】2022年新高考数学高频考点+题型专项千题百练(新高考适用)(已下线)卷13 高二上学期第二次阶段测试卷01 -【重难点突破】2021-2022学年高二数学名校好题汇编同步测试卷(人教A版选择性必修第二册)
5 . 已知数列
,则该数列的前
项和为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d92fd29ea9f1fa3347a4e0f537759f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
解题方法
6 . 已知数列
中,
,
,前n项和为
.若
,则数列
的前15项和为______ .
![](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/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6053463857a64c538a984abb8774751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
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2021-03-22更新
|
905次组卷
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8卷引用:【全国百强校】黑龙江省哈尔滨市第三中学校2018-2019学年高一下学期期中考试数学试题
7 . 已知在数列
中,
且
,设
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ,数列
前n项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aafd1104ac1dfe25e9b6f4c67bbbd94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6cde5b030f3d1edb19350e03958186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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20-21高二·全国·单元测试
解题方法
8 . 定义
为n个正数
的“调和倒数”.若数列
的前
项的“调和倒数”为
,又
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efc8f8f58c728fa646ff7b7915a9e07.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d12acdeaeab787e5e2421e6cad0b8aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa319dc8a88996be6eeb1053b635dbe.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/c72975772820e2660bf223a088d80116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/712970590de3ae18b671e39df7047cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1efc8f8f58c728fa646ff7b7915a9e07.png)
您最近一年使用:0次
名校
解题方法
9 . 已知正项数列
的前n项和为
,且
是4和
的等比中项,数列
,其前n项的和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a8462c07c0143853c1bec52084360e.png)
__________ .
![](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/23016d1186ebefd8d67387f43f100229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e722d1cb06e597485399a64c75b14a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a8462c07c0143853c1bec52084360e.png)
您最近一年使用:0次
2020-07-20更新
|
638次组卷
|
2卷引用:四川省遂宁市船山区第二中学校2020届高三高考适应(二)考试数学(文)试卷
10 . 在数列
中,
,
,则该数列的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ ;数列
中最小的项的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c7004dd54bb0a0d482c2dee3e35b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2020-07-04更新
|
702次组卷
|
2卷引用:浙江省宁波市余姚中学2019-2020学年高一下学期期中数学试题