名校
1 . 已知等差数列
满足
,
的前
项和为
.
(Ⅰ)求
;
(Ⅱ)设
,
为数列
的前
项和,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc3b83fe05048bc23203f829bf9560a.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)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0e0a70936e827adb581b84cfeee105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.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/c215db1d8f69757118ad405b78035628.png)
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13-14高三下·北京东城·阶段练习
名校
2 . 在数列
中,
,
,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/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17e8f506524739813196bd281969b4b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
您最近一年使用:0次
解题方法
3 . 等比数列
的前
项和为
,且
,
,
.
(1)求数列
的通项公式;
(2)设
,且数列
满足
,且
,求数列
的通项公式.
![](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/1d470dfef4e1d7e56a358e1bdb735ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25fc6e4698a74a39097e891812c976ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6748a9b68497c8f9a60043551c3cde4.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6799d4affebdaafdeeedec019e2448db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11913c4302df9c8bdd8b14a3ac576943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dd682f297cd3f71e2633abe9c274c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136385eba6bbcf3acd99ed5193a814a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11913c4302df9c8bdd8b14a3ac576943.png)
您最近一年使用:0次
4 . 已知数列
满足
,
(
),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77fe6b1aed88ef96f6694be10afaa3c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
您最近一年使用:0次
2017-08-13更新
|
333次组卷
|
4卷引用:四川省成都市第七中学2016-2017学年高三下学期零诊模拟数学(文)试题
5 . 已知数列
的前项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fdca4b4035901a83c8f1b48b151f71.png)
(1)求数列
的通项公式
(2)设数列
满足
,求数列
的前n项和Tn
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fdca4b4035901a83c8f1b48b151f71.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592530da72dd710f77320f1e2354aefa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81192220692065ee81bd4243febdcb4d.png)
您最近一年使用:0次
2018-03-29更新
|
516次组卷
|
3卷引用:【区级联考】四川省成都市龙泉驿区2019届高三统一模拟考试理科数学试题
2011·四川广安·一模
6 . 数列{
}中,
,
(n
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b995837ab0335980d7b289fc10aab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d699cf31716693eb6f8cf848547ed79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知数列
的各项都为正数,前
项和为
,若
是公差为1的等差数列,且
,
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933114ff9d61b7afbd0f26ccaf0a59d1.png)
_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2435fe06ff53f87ae3070c01b43b4a3e.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/11a85a39010b04d1fe20d3bb9faf7ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/558ee10caedbd89684fc842d33eb58b7.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933114ff9d61b7afbd0f26ccaf0a59d1.png)
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8 . 等比数列
中,a1=1,a6=32,Sn是等差数列{bn}的前n项和,b1=3,S5=35(I)求数列
,{bn}的通项公式
(II)设Cn=an+bn,求数列{Cn}的前n项和Tn
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(II)设Cn=an+bn,求数列{Cn}的前n项和Tn
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