解题方法
1 . 等差数列
的前
项和为
.已知
且
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.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/4e04d0233c99c2f9cae64cc5f980b2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13319e0f98d007c8d482da727fb2974.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75661dab07707f36d37c50e2f6ca9693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.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
解题方法
2 . 已知数列
的前n项和为
,
,
且数列
为等差数列.
(1)求数列
的通项公式;
(2)定义:
表示不超过x的最大整数.设
,求数列
的前114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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf76c79582d090059c92c13de08dfba.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)定义:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22696793fe8712c7025a7d268757712a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a2c85dd7d2adf37f949597c152f32c.png)
您最近一年使用:0次
2024-01-25更新
|
437次组卷
|
3卷引用:四川省宜宾市第六中学校2024届高三上学期期末数学(文)试题
3 . 已知等差数列
的公差不为0,且
,
;数列
的前n项和为
,且
.
(1)求数列
,
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/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba9cb8808927a2d4c3055850a32d11c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd56c886d76991ec450d4aa1b7a6174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc633e7b917b3f3d8c1d218f19bb4b32.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec4bdc2a6d4fc387dc621f0b5a268c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/509371b943f5d82567a2ea4ee9ce48d2.png)
您最近一年使用:0次
2022-07-21更新
|
555次组卷
|
3卷引用:四川省宜宾市叙州区第一中学校2024届高三下学期开学考试数学(文)试题
名校
解题方法
4 . 设各项为正数的数列
的前n项和为
,数列
的前n项积为
,且
.
(1)求证:数列
是等差数列;
(2)求数列
的通项公式.
![](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/846fa57d92d6ad44d6a0cafad1e71ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee6738d598509639ec8668c1862d27f.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a40442811c08c432ec613102e4502c0.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2022-05-27更新
|
908次组卷
|
3卷引用:四川省宜宾市叙州区第一中学校2024届高三上学期期末数学(理)试题
5 . 已知等差数列
的前
项和为
,且
,
;数列
满足
.
(1)求数列
和
的通项公式;
(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/4fa69dde104dcf963e67647e801e0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52036247d906768190750c1d8f7b6b0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e889455fe1932ea1a0542906a759712f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308db5fd4fe9d810edc79c9998d8c5ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f41be870e84c819362787849770519.png)
您最近一年使用:0次
2022-05-26更新
|
1596次组卷
|
6卷引用:四川省宜宾市叙州区第二中学校2022-2023学年高三上学期第三次学月考试数学(文)试题
6 . 在①
;②
,
;③
,
这三个条件中任选一个,补充在下面问题中,并完成问题的解答(如果选择多个条件分别解答,按第一个解答计分).
已知等差数列
的前
项和为
,且满足________,数列
的前
项和为
,且
.
(1)求数列
和
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300dca231e2f4b37f70900b33439d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5731f65834e58bb01c8d21a695e395ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54753f11b741af5ea33e231ad6aebff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315b41eeea0dbaa395af2474c4ba6acb.png)
已知等差数列
![](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/43b7e7cd571c8cd141cbbfe5d0890bf6.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/53f6ba63d37f1597a15c3f2f7f86263d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.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/e15526f7c892333030073b85fc3baee6.png)
您最近一年使用:0次
名校
解题方法
7 . 设Sn为等差数列{an}的前n项和,S9=81,a2+a3=8.
(1)求{an}的通项公式;
(2)若S3,a14,Sm成等比数列,求S2m.
(1)求{an}的通项公式;
(2)若S3,a14,Sm成等比数列,求S2m.
您最近一年使用:0次
2022-03-21更新
|
220次组卷
|
16卷引用:2020届四川省宜宾市叙州区第二中学校高三下学期第一次在线月考数学(文)试题
2020届四川省宜宾市叙州区第二中学校高三下学期第一次在线月考数学(文)试题2020届四川省宜宾市叙州区第二中学校高三下学期第一次在线月考数学(理)试题四川省宜宾市叙州区第一中学校2023-2024学年高二上学期期末数学试题【校级联考】河北省省级示范高中联合体2019届高三12月联考数学(文)试题【校级联考】贵州省部分重点中学2019届高三12月联考数学(理)试题【市级联考】辽宁省辽阳市2019届高三上学期期末考试数学(理)试题【市级联考】辽宁省辽阳市2019届高三上学期期末考试数学(文)试题河北省武邑中学2019届高三上学期期末考试数学(理)试题【市级联考】广西梧州市、桂林市、贵港市等2019届高三上学期期末理科数学试题河北省承德市2018-2019学年高三上学期期末考试数学(文)试题河北省承德市2019届高三上学期期末数学(理)试题(已下线)专题4.2 等比数列的性质-2021-2022学年高二数学特色专题卷(人教A版2019选择性必修第二册)陕西省安康市2019届高三下学期第二次教学质量联考文科数学试题陕西省安康市2019届高三下学期第二次教学质量联考理科数学试题重庆市永川北山中学校2022-2023学年高二上学期期末数学试题陕西省咸阳市永寿县中学2023-2024学年高三上学期第三次考试理科数学试题
名校
解题方法
8 . 已知等差数列
中,
.
(1)求
;
(2)设数列
的前
项和为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25360b0b76462caf28ff0a620a657f26.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)设数列
![](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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d289d8e284958dbe5e78494e37f3149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02e80983b88cdf6b540502816c87d13.png)
您最近一年使用:0次
2020-11-21更新
|
288次组卷
|
2卷引用:四川省宜宾市叙州区第二中学校2020-2021学年高三上学期阶段一考试数学(理)试题
名校
9 . 已知等差数列
满足
,前7项和
.
(1)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/7b8622956cdfdf378d6d25ae414176a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/477b15bed35216bc57a10de1676ddc3e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98162507bd971f29a149753e6c2f38ee.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
2020-09-21更新
|
315次组卷
|
6卷引用:四川省宜宾市叙州区第二中学校2020-2021学年高二上学期开学考试数学(理)试题
四川省宜宾市叙州区第二中学校2020-2021学年高二上学期开学考试数学(理)试题2020届山东省济宁市高三上学期期末数学试题(已下线)专题03 数列求和问题(第二篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)考点21 求和方法(第1课时)练习-2021年高考数学复习一轮复习笔记(已下线)专题20 数列综合问题的探究-2021年高考数学二轮优化提升专题训练(新高考地区专用)【学科网名师堂】重庆市第七中学2021届高三下学期高考仿真模拟数学试题
10 . 在等差数列
中,
为其前
项和
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35dcdd45eaf5b1ff151e76d25b28d43.png)
(1)求数列
的通项公式;
(2)设
,求数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68eee81e090b96819b7df54fc1bcc3a6.png)
(3)设
,求数列
的前
项和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/69d307ec71820b6536453fbdb5069da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b35dcdd45eaf5b1ff151e76d25b28d43.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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/68eee81e090b96819b7df54fc1bcc3a6.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7317dfbd0383e6a6d13029805ee9d79b.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/15520cf5be7c2685975aac51bc99ac4f.png)
您最近一年使用:0次
2020-09-13更新
|
412次组卷
|
4卷引用:四川省宜宾市叙州区第一中学校2020-2021学年高二上学期开学考试数学(文)试题