1 . 已知数列
中,其前
项和
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f20826a21f6f58bb90915099a84dbe3.png)
.
(1)求证:数列
为等比数列,并求
的通项公式;
(2)设
,求数列
的前项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd015442628054692b8cc0a19c77d2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e22d193eeea7dd2d61f54ea468be716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f20826a21f6f58bb90915099a84dbe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866eee57f4f86f03d0d4fc8eb4b8a7f2.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd015442628054692b8cc0a19c77d2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd015442628054692b8cc0a19c77d2bf.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90205cb00b7143a8dcdd2e4cb3f190b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0096ced57c6f31f2e0fe402bd56334.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2021-11-26更新
|
594次组卷
|
2卷引用:黑龙江省八校2021-2022学年高三上学期期末联合考试数学(理)试题
2 . 数列
的前
项和为
, 且
,
(
).
(1) 证明:数列
为等比数列,并求
;
(2) 若
, 求数列
的前
项和
.
![](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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76f4e6a54a32975c23ae52f5687e12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d5ec9ad92f37e64eccce922ab1b14e.png)
(1) 证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08785169d7febc2b4a93fa93897cd540.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2019-01-15更新
|
614次组卷
|
2卷引用:【全国百强校】黑龙江省哈尔滨市第三中学2019届高三上学期期末考试数学(文)试题
解题方法
3 . 已知数列
前n项和为
,满足
.
(I)证明:
是等比数列,并求
的通项公式;
(Ⅱ)数列
满足
,
为数列
的前n项和,若
对正整数a都成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8ac08b1dda83e8b171d4937c40ce66.png)
(I)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c990312950f89a934d7d9f04b3b942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(Ⅱ)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73dbd4237bb15da40edea5940696f398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc5b76208b0e4655a7b5470f72b413f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3145bd4fce70d22aac659dd2519aa685.png)
您最近一年使用:0次
2016-12-04更新
|
1037次组卷
|
2卷引用:黑龙江省绥化市望奎县第一中学2021-2022学年高二上学期期末数学试题