名校
1 . 已知等比数列
的前
项和为
,且
,
是
与
的等差中项.
(1)求
与
;
(2)若数列
满足
,设数列
的前
项和为
,求证:
![](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/4b79a42580dc46cb4ed5a14e09ab5e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77311d40ef50a900cb46680f917f0d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20071a42c1f9eac2b173d77d37381da9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f10dd12dcc2c08396f742fe2ce622e.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1088e4768e46d65418c20a31993226e0.png)
您最近一年使用:0次
2019-12-16更新
|
343次组卷
|
2卷引用:云南省玉溪第一中学2019-2020学年高二上学期第二次月考数学(文)试题
名校
2 . 设数列{an}的前n项和Sn满足Sn=
,且a1,a2+1,a3成等差数列.
(1)求数列{an}的通项公式;
(2)记数列
的前n项和为Tn,求证:
Tn<1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040abc1df7e9b3abb725d11389771e27.png)
(1)求数列{an}的通项公式;
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd87591c1c51455f9b6fe6f824b05ad.png)
您最近一年使用:0次
3 . 已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
是等比数列,并求数列
的通项公式;
(2)证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f331591a8a32f3e781af90af3a53154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460051e994f6e23bd5810a40f7bd21a.png)
您最近一年使用:0次
2017-11-27更新
|
539次组卷
|
2卷引用:云南省曲靖市第一中学2018届高三高考复习质量监测卷(四)文科数学试题
4 . 设数列
的前
项和为
,对任意正整数
,
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2303a19bbdf3f719593f5b68301ed13.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74673c68ee89995f38eecc3d10c0e9ac.png)
您最近一年使用:0次
2016-12-04更新
|
764次组卷
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3卷引用:2016届云南省高三下学期第一次高中毕业生复习统一测试理科数学试卷