1 . 已知数列
满足
,
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbb67593c95bab93ff67145ae95ea3.png)
(1)求证:数列
是等比数列;
(2)求数列
的通项公式;
(3)已知
对于
恒成立.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed4652071a68a7ab141aef31f167bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0bbb67593c95bab93ff67145ae95ea3.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ddd5f5f216d617363dc388a4fba678.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2e46e0bdb59d46057c66db27e70459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02efa6f1dc514a278597ed9ccfe42127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fcb710bdd29fb50238419de2faf104.png)
您最近一年使用:0次
2 . 已知数列
的首项
,且满足
.
(1)求证:数列
为等比数列![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)设数列
满足
,求最小的实数
,使得
对一切正整数
均成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c840b24a1626f247eefe7371c8abb50e.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8131683b196a30a991970253777e8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8472fa2bfd83fd62f17e232fbaeef69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-03-08更新
|
1717次组卷
|
6卷引用:江西省景德镇市乐平中学2023-2024学年高二下学期4月期中考试数学试题
3 . 设
为数列
的前
项和,且
.
(1)证明:数列
为等比数列;
(2)求
.
![](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/7de59c712b13002bba109d7230c33e54.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95bf0c40e4c9e44a891b10ba884d66e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c614e62c5c4bbfbbe1234f8a7a0dcc1e.png)
您最近一年使用:0次
名校
4 . 已知数列{an}满足a1=1,an+1=3an+4,n∈N*.
(1)证明:数列{an+2}是等比数列,并求数列{an}的通项公式;
(2)设bn=(a2n+2)log3(an+2),求数列{bn}的前n项和Tn.
(1)证明:数列{an+2}是等比数列,并求数列{an}的通项公式;
(2)设bn=(a2n+2)log3(an+2),求数列{bn}的前n项和Tn.
您最近一年使用:0次
名校
5 . 已知数列
的前
项和为
,对任意的正整数
,都有
成立.
(1)求证:数列
为等比数列;
(2)记
,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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5be6da6cf0a1965535b55b34124aeeb.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b7d291b36c6723e3bdf69712550e25.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e5569f4f6aa689e81eb571ef0fe8da.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
2018-04-12更新
|
899次组卷
|
2卷引用:江西省景德镇一中2020-2021学年高二(2班)上学期期中考试数学试题