1 . 已知各项均不为0的数列
的前
项和为
,且
.
(1)若
,求数列
的前
项和
;
(2)若
,求
的最大值.
![](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/b3d9ad2c6cdf221d1631cb7c0dd4f44d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fec2729d8e927de9392ee90d1e0389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31117a0c8996669b89bc99c4593ae28.png)
您最近一年使用:0次
2023-11-27更新
|
1017次组卷
|
3卷引用:山西省临汾市2023-2024学年高三上学期11月期中数学试题
名校
解题方法
2 . 已知数列
满足
,且
.
(1)设
,证明:
是等比数列;
(2)设数列
的前n项和为
,求使得不等式
成立的n的最小值.
![](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/2fdf6a05d9bd95c05011b2df5c8c0716.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462b87d98f29c65b37a7aecdf904c3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e952acc3d63d7f44f06f40b87903b742.png)
(2)设数列
![](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/dbd848cb3c43b21e58b059746dee7726.png)
您最近一年使用:0次
2023-02-22更新
|
1885次组卷
|
6卷引用:山西省朔州市怀仁市第一中学校2023届高三下学期第二次模拟数学试题
3 . 已知
是各项均为正数的等差数列,公差为
,对任意的
是
和
的等比中项.
(Ⅰ)设
,求证:
是等差数列;
(Ⅱ)设
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037f87bd8afa61f76aeb8fc680354720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090426eb29836bc30c006b3739c08057.png)
(Ⅰ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b7a6a50fdc1793be4f988c4ed5b534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb6f07c2bfe4580acd14f09465f5c6fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d6b69d8a98e037f1c37e516b3c8034f.png)
您最近一年使用:0次
2016-12-04更新
|
1088次组卷
|
9卷引用:山西省太原市山西大学附属中学校2022-2023学年高二下学期期中数学试题
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