解题方法
1 . 已知数列
满足
,则数列
的前7项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e86eb83f732c6b65098f4c1c3a7ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/485e409730923330442dc9418241f898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2da88be606b116c847d0e3b7ba93a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
您最近一年使用:0次
2017-05-19更新
|
937次组卷
|
2卷引用:广东省佛山市南海区狮山石门高级中学2022-2023学年高二下学期期中数学试题
2 . 已知数列
的前
项和为
,
,
,且
,
(
),
成等差数列,则数列
的前
项和
的表达式为__________ .(用含有
的式子表示)
![](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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7110f600351b404b84e6d252d36b4ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718c8023b34c5948d2f36fc3ea3596cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92cc3acad16e86346b658604c2d840ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fbecca12ee62538020483fd55a2109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a35d79a1b4df9e4aade6a92f35bea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59eca9c6bc418752aba8f494e0ed7459.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/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
3 . 已知
为等差数列,若
,
,则数列
的通项公式为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecf69901899bba130968c7a091790d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210478c26c1fc5a7c34a9c6672140ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2017-04-20更新
|
1007次组卷
|
5卷引用:广东省汕头市达濠华侨中学2017-2018学年高二上学期阶段考试(二)数学文试题
解题方法
4 . 设等差数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)设数列
满足
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/3e27c44d00dfcf78a110f6ebda2f0e20.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232000869f5c17a9011ba7714915c168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.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
9-10高一下·湖南长沙·期中
名校
5 . 已知:在等差数列{an}中,a1= 2,a1+a2+a3= 12.
(1)求数列{an}的通项公式;
(2)令bn=an·3n,求数列{bn}的前n项之和为Sn.
(1)求数列{an}的通项公式;
(2)令bn=an·3n,求数列{bn}的前n项之和为Sn.
您最近一年使用:0次
2019-01-30更新
|
747次组卷
|
5卷引用:广东省台山市华侨中学2018-2019学年高二上学期期中数学(理)试题
广东省台山市华侨中学2018-2019学年高二上学期期中数学(理)试题(已下线)长沙市一中高于数学第二学期期中考试(已下线)2010年江苏省南京六中高一第二学期期末考试数学试卷(已下线)2011年云南省晋宁二中高二上学期期末数学试卷内蒙古自治区乌兰察布市集宁区一中(西校区)2019-2020学年高二上学期期中数学(文)试题
2010·广东揭阳·一模
6 . 已知曲线
:
,数列
的首项
,且当
时,点
恒在曲线
上,数列
满足
.
(1)试判断数列
是否是等差数列?并说明理由;
(2)求数列
和
的通项公式;
(3)设数列
满足
,试比较数列
的前
项和
与2的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d69c7cd6c9e43c313d64c5c125cc717c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1cabeedc0da3de06bd8b7753cdf52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b3afbc7f1ec118f80c74e27e7444c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94200e5716b257f3ba6d7c6d038995.png)
(1)试判断数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386c6826d34b8652fc7b3e55bf483190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
9-10高三·河南南阳·阶段练习
7 . 已知数列
、
满足
,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869f138f95a1770c499362015bd8d21d.png)
(1)令
,求数列
的通项公式;
(2)求数列
的通项公式及前
项和公式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e728c2a5646fa8710c2dbc7bce6514b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d054f7953cc5efa30fd04be7b79d7b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869f138f95a1770c499362015bd8d21d.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d44ddab6e0c60119be69985ae7fa65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c522c1c881528ab6f9708f6bdd4c4db5.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2019-01-30更新
|
1321次组卷
|
4卷引用:广东省广州市执信中学2020届高三上学期10月月考数学(理)试题
广东省广州市执信中学2020届高三上学期10月月考数学(理)试题(已下线)河南省南阳一中2010届高三第第三次次调考(数学理)2016届四川省成都市石室中学高三5月一模理科数学试卷2007年普通高等学校招生考试试卷(文)试题(辽宁卷)
名校
8 . 已知递增的等差数列
中,
、
是方程
的两根,数列
的前
项和为
,且
.
⑴求数列
,
的通项公式;
⑵记
,数列
的前
项和为
.求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26ec29f5cc2c855f97158fdedc2cca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.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/8637c57ec843c170ac1b27c1f0e87505.png)
⑴求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
⑵记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a180095a5f57005c29adbacb244714b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.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/9c3fec47d2dd2b8099d86c87b6e57de8.png)
您最近一年使用:0次
9 . 设等差数列
的公差为
,且
,
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b65a83bccc20d9bbcf34ff55b9ccade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ddf4f93e165f945badd69c418b75b7.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cefab0422d1ba8cfa2baff5c14068f5.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/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
10-11高一下·内蒙古赤峰·期中
名校
10 . 已知数列
中,
前
项和为
,且点
在直线
上,则
=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.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/401747fc35829e5b92cf14df39c1bcec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f479046ac0c9b313f5a6c5b19ba522.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-11-30更新
|
1335次组卷
|
13卷引用:2016-2017学年广东省揭阳市第一中学高二下学期第一次阶段考试数学(文)试卷
2016-2017学年广东省揭阳市第一中学高二下学期第一次阶段考试数学(文)试卷(已下线)2010-2011年内蒙古赤峰二中高一第二学期期中考试理科数学(已下线)2011-2012学年安徽省屯溪一中高二下学期期中考试文科数学试卷(已下线)2012-2013学年甘肃省兰州一中高一下学期期中考试数学试卷2015-2016学年重庆十八中高一下期中理科数学试卷2016-2017学年湖北襄阳五中高二上学期开学考数学文试卷黑龙江省肇东市第一中学2016-2017学年高一下学期期中考试数学试题湖南省长沙市明德中学2016-2017学年高二上学期阶段测试数学试题【全国百强校】甘肃省兰州第一中学2018-2019学年高二9月月考数学试题【区级联考】湖南省张家界市慈利县2018-2019学年高一下学期期中检测卷数学试题河南省郑州市2019-2020学年高二上期期末数学(理)试题浙江省金华市义乌市义亭中学2017-2018学年高一下学期期中数学试题安徽省合肥市六校联盟(七中、九中、十中等)2021-2022学年高二上学期期末联考数学试题