名校
1 . 设数列
的前n项和为
,若
,则
的值为______ .
![](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/5bcc621b8b735926f6bd6bc17f94ea16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a27c112387e56c976489fa484c0d48f.png)
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2020-08-06更新
|
342次组卷
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5卷引用:四川省南充高级中学2020-2021学年高二下学期入学考试数学(文)试题
四川省南充高级中学2020-2021学年高二下学期入学考试数学(文)试题湖南省衡阳市2020届高三下学期三模数学(理)试题黑龙江省牡丹江一中2020-2021学年高二上学期开学测试数学试题安徽省滁州市明光中学2020-2021学年高二上学期开学考试数学试题(已下线)专题05 数列-【备战高考】2021年高三数学高考复习刷题宝典(填空题专练)
2 . 有两个等差数列
及
由这两个等差数列的公共项按从小到大的顺序组成一个新数列,则这个新数列的各项之和为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995e28479d34d8213abfdb8e5860b48a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d818374c237ddd87fbbb17d83ed52a50.png)
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2016-12-03更新
|
800次组卷
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10卷引用:2015届四川省雅安中学高三开学考试理科数学试卷
名校
3 . 若数列
的首项
,且
;令
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99261c8710224e047dfc21bfd55aabde.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/0f0abbc453bbe66c0ee6cc56ae23f12f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94e22de952e2b63bb9a750a77200d77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99261c8710224e047dfc21bfd55aabde.png)
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2017-02-08更新
|
1526次组卷
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8卷引用:四川省凉山州宁南中学2023-2024学年高二上学期期末模拟数学试题(二)
名校
4 . 已知等差数列
,满足
,其中
,
,
三点共线,则数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11e2bf8d65c24fc845446a32d881bd4.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d3c0f812c6a5ecdc59de165030ccc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11e2bf8d65c24fc845446a32d881bd4.png)
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2019-06-12更新
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473次组卷
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3卷引用:【校级联考】四川省广元市万达中学、八二一中学2018-2019高一下学期期中考试数学试题
名校
5 . 已知
为数列
的前
项和,且
,若
,
,
给定四个命题①
;②
;③
;④
.
则上述四个命题中真命题的序号为____ .
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d3ab802a25061e9243b00c6b3e4aad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e367918925c6dc91bc754ecb5523df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0356c3e21676842219bb4c5cff5fb56b.png)
给定四个命题①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f922d56b4d75a178b16dbe8e958b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f787f1f043836137dec41841a51708f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84f5fc1bcdeb2dd089554ce6fdd532f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0065bc865d3ad48f0a62999ae17dc1.png)
则上述四个命题中真命题的序号为
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2018-02-12更新
|
920次组卷
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3卷引用:四川省成都市龙泉驿区第一中学校2019届高三12月月考数学(理)试题
解题方法
6 . 等差数列
的前
项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2395ccadbeb8353ead0d573ca02c25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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2017-03-30更新
|
1362次组卷
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4卷引用:四川省泸州市合江县马街中学校2023-2024学年高二上学期期末数学试题
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7 . 设
是公差不为0的等差数列
的前
项和,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee98923258c6b7d05cccdf927576968b.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b69991e6841f6c4c9558749f95d82a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee98923258c6b7d05cccdf927576968b.png)
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2020-01-07更新
|
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2卷引用:四川省眉山市仁寿县2019-2020学年高三上学期期中数学(理)试题
名校
解题方法
8 . 已知等差数列
的前n项和为
,
,则使得
成立的最大的自然数
为________ .
![](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/ab3fc09958f465149a5ec563fb8888c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49763402b2f2023f0ba64c37924267d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2018-04-23更新
|
692次组卷
|
2卷引用:四川省资阳市2018届高三4月模拟考试(三诊)数学(文)试题
名校
解题方法
9 . 若等差数列
的前
项和为
,则
.由类比推理可得:在等比数列
中,若其前
项的积为
,则
=________ .
![](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/46fdbb411d9943abe66011aa5dfc0f7c.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/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b679ed1a38a491ac0efa5beee27c2c75.png)
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2021-09-11更新
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4卷引用:四川省内江市第六中学2021-2022学年高三上学期第二次(9月)月考理科数学试卷
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10 . 已知等差数列
的公差
,前
项和为
,等比数列
是公比为
的正整数,前
项和为
,若
,
,且
是正整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8070298d2ce3275b611e5c5c0644dc33.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.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/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.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/8d38c4c234dd55eaf29979489df6f99b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf1d34ca8761d543421612ac55511c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13b6183d0a5fc6ab48a3167677cf99b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8070298d2ce3275b611e5c5c0644dc33.png)
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