1 . 设等差数列
的前
项和为
,
,
.
(1)求
;
(2)设
,证明数列
是等比数列,并求其前
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/9a39dabf1d2cb4094bd2178576970d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad59890e6c26770142a389c43413e99.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.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
2021-02-04更新
|
188次组卷
|
9卷引用:北京师范大学遵义附属学校2020-2021学年高二下学期第一次月考数学(文)试题
北京师范大学遵义附属学校2020-2021学年高二下学期第一次月考数学(文)试题重庆市部分区2019-2020学年高一下学期期末联考数学试题宁夏青铜峡市高级中学2021届高三上学期期中考试数学(文)试题甘肃省民乐县第一中学2020-2021学年高二上学期期中考试数学(文)试题陕西省榆林市2020-2021学年高二上学期期末文科数学试题陕西省榆林市2020-2021学年高二上学期期末理科数学试题甘肃省静宁县第一中学2020-2021学年高二上学期期末考试数学(文)试题云南省昭通市绥江县第一中学2020-2021学年高二上学期期末考试数学试题陕西省洛南中学2022-2023学年高二上学期12月月考数学(文)试题
名校
解题方法
2 . 在数列
中,
,
.
(1)证明,数列
是等差数列.
(2)设
,是否存在正整数
,使得对任意
,
恒成立?若存在,求出
的最小值;若不存在,说明理由.
![](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/61c16a1321cfecd5895b0d3212460631.png)
(1)证明,数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c202d45733e28651b6e2aea9e6166295.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d26879d75e49c79b091b4e90d1b168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce0f6b245890e3644e0a7e81799b32a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2020-09-03更新
|
439次组卷
|
4卷引用:贵州省黔南州2019—2020学年度高一下学期期末考试数学试题
贵州省黔南州2019—2020学年度高一下学期期末考试数学试题(已下线)专题4.2 等差数列(B卷提升篇)-2020-2021学年高二数学选择性必修第二册同步单元AB卷(新教材人教A版,浙江专用)(已下线)专题5.2 等差数列(B卷提升篇)-2020-2021学年高二数学选择性必修第三册同步单元AB卷(新教材人教B版)河南省安阳市林州市第一中学2022-2023学年高二下学期7月月考数学试题
名校
解题方法
3 . 设数列
的前
项和为
,已知
且满足
.
(1)求证:数列
是等差数列,并求
;
(2)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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797dc6d1fb675dd63777984730363615.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63059fbfd9548449b9d90cc22f7fea00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c4867dfd2b1fa71e386275fe0fed234.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/6828a1cf75f19bb74a0e0490bd65c168.png)
您最近一年使用:0次
4 . 已知数列
的首项
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb43e949c257d984f60418949f96f4c.png)
.
(1)证明:数列
是等比数列;
(2)数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352d9b76dcf639368fa68cae70149802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb43e949c257d984f60418949f96f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9221d72c9d12b060579e6f79364a6f69.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cce1c53146283e962f6ea72aa6b2ed.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff7c3c1ee3d3b84eef2be446b33a70a.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
2020-04-19更新
|
724次组卷
|
5卷引用:贵州省毕节市实验高级中学2019-2020学年高二下学期期中考试数学(文)试题
贵州省毕节市实验高级中学2019-2020学年高二下学期期中考试数学(文)试题广东省深圳市2019-2020学年高三下学期第二次线上统一测试数学(文)试题安徽省蚌埠市田家炳中学2019-2020学年高二下学期开学考试数学(文)试题(已下线)专题21 数列(单元测试卷)-2020-2021学年高中数学新教材人教A版选择性必修配套提升训练湖南省益阳市箴言中学2021-2022学年高二下学期2月入学考试数学试题
5 . 在数列
中,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c457ba87675015212f2e3afe4c56c.png)
.
(1)求证:数列
为等差数列;
(2)设数列
满足
,求
的通项公式及
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210c457ba87675015212f2e3afe4c56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467337eed9bb6d94c6c22c6d031839d.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7695d7b6905ff9d4cd9b063028cc092.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f2472069daa4c58d9c07d8b34f4f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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
名校
解题方法
6 . 在公差不为零的等差数列
中,
成等比数列.
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
,设数列
的前
项和
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940a93ddf2869b1454bc5597599e10a2.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/626735789444dac07dbbe0c45174abdb.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de5c68e6a678653c98002737d986565.png)
您最近一年使用:0次
7 . 已知在数列
中,
,
,
.
(1)证明数列
是等比数列,并求数列
的通项公式;
(2)设
,
,求数列
的前
项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2af79f17ef596c04991f4c13cd1955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f69f320a5a0eddea1453d62279ce136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b7d291b36c6723e3bdf69712550e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0267d117cde8ccec5cb7c7043e8f130e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ee50ef602518ceae9d3dde1bc4799a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2375ec49c4e7fee0753a6121c800cae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
8 . 已知数列
的前
项和为
满足:
.
(1)求证:数列
是等比数列,并且求
;
(2)令
,令
,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/5cd8715231e725b7adf11ad9e5123d0a.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a946fba0b710e23d1c86edffbf23f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960ee483dcff9b8e2fa2a7eccc02759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.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
12-13高二上·广东揭阳·期末
9 . 设数列
的前项n和为
,若对于任意的正整数n都有
.
(1)设
,求证:数列
是等比数列,并求出
的通项公式.
(2)求数列
的前n项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1183ab832ee8361f8509cc60c8f9315.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e290f06f8f75e5bbfec2d27c0c6e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496f142d8ae5acb06e83526eaa3ef87.png)
您最近一年使用:0次
2019-11-07更新
|
1671次组卷
|
17卷引用:2015-2016学年贵州省铜仁市思南中学高一下期中数学试卷
2015-2016学年贵州省铜仁市思南中学高一下期中数学试卷(已下线)2011-2012学年广东省揭阳一中高二上学期期末考试理科数学(已下线)2011-2012年湖南衡阳七校高二下期期末质量检测数学试卷(已下线)2012-2013学年黑龙江省鹤岗一中高一下学期期中考试文科数学试卷(已下线)2013-2014学年黑龙江鹤岗一中高一下期中考试文科数学卷(已下线)2013-2014学年辽宁省师大附中高二上学期期中理数学卷2015-2016学年四川省雅安市天全中学高一下学期期中理科数学试卷2015-2016学年四川省雅安市天全中学高一下学期期中文科数学试卷2015-2016学年湖北省孝感六校联盟高一下学期期中考试文科数学卷2015-2016学年河南省新乡延津高中高一下期中数学试卷2016-2017年河南西平县高级中学高二文十月月考数学试卷高中数学人教A版必修5 综合复习与测试 (1)河北省唐山市第十一中学2018-2019学年高一下学期6月月考数学试题广东省清远市阳山县阳山中学2019-2020学年高二上学期期中数学试题安徽省合肥市第六中学2019-2020学年高一下学期开学考试数学试题四川省宜宾市叙州区第二中学校2019-2020学年高一下学期第四学月考试数学(理)试题广东省东莞市石竹实验学校2022-2023学年高二下学期开学学情调查数学试题
10 . 已知数列
的前n项和为
,
,
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
(1)求
的通项公式
(2)设
,数列
的前n项和为
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd66b3f3e699ad7c9482dabb1a2b9fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11c48b21c3f9c7a36cf16c0d0109dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13accead79cc698ff8112be852eae503.png)
您最近一年使用:0次
2019-10-23更新
|
1142次组卷
|
5卷引用:2019届贵州省凯里市第一中学高三上学期开学考试数学(理)试题