名校
解题方法
1 . 已知数列
的前
项和为
.
(1)求
的通项公式;
(2)若
,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/0d8974b3190831823a79d2036867e2b8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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)
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2024-02-12更新
|
2015次组卷
|
7卷引用:陕西省千阳县中学2023-2024学年高二下学期4月月考数学试卷
陕西省千阳县中学2023-2024学年高二下学期4月月考数学试卷广东省高州市2023-2024学年高二上学期期末教学质量监测数学试题(已下线)5.3.2 等比数列的前n项和(3知识点+8题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)广东省佛山市第二中学2023-2024学年高二下学期第一次月考数学试题广东省东莞市东莞实验中学2023-2024学年高二下学期月考一数学试题宁夏回族自治区石嘴山市平罗县平罗中学2023-2024学年高二下学期第一次月考(4月)数学试题四川省达州外国语学校2023-2024学年高二下学期3月月考数学试题
名校
解题方法
2 . 记数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)对任意
,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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7810e45480ecbc3001bde978e6b891e.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b191044f5c024f377d999910b78b422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2023-05-04更新
|
584次组卷
|
4卷引用:陕西省宝鸡市千阳县中学2023届高三第十二次模考理科数学试题
名校
解题方法
3 . 已知正项数列
的前n项和Sn满足
.
(1)求数列
的通项公式;
(2)令
,求证:数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78e1c0f659ec64e6d5ef2b08b8ca802.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53121b0b6bb9b191ce883e7fb5c18619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c215db1d8f69757118ad405b78035628.png)
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2022-12-07更新
|
839次组卷
|
8卷引用:陕西省宝鸡市陈仓区虢镇中学2022-2023学年高二上学期10月月考数学试题
陕西省宝鸡市陈仓区虢镇中学2022-2023学年高二上学期10月月考数学试题江西省萍乡市2022届高三第三模拟考试数学(文)试题(已下线)2022年全国新高考Ⅰ卷数学试题变式题9-12题(已下线)专题26 数列的通项公式-6(已下线)2022年全国新高考Ⅰ卷数学试题变式题17-19题江苏省苏州市园区三中、昆山震川中学2022-2023学年高三上学期第二次阶段联考数学试题安徽省合肥市肥东县综合高中2021-2022学年高二下学期5月月考数学(文)试题(已下线)期末押题预测卷02(范围:选择性必修第一册、选择性必修第二册)-【单元测试】2022-2023学年高二数学分层训练AB卷(人教A版2019)
4 . 设数列
满足
,且
.
(1)求证:数列
为等差数列,并求
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/e82a04834a4a762af61c479b77ba0875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3938fc9093a10b040b5ed9d18c876637.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168fa863fe74988cbb64d5538e8f5601.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)
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2022-10-07更新
|
1933次组卷
|
6卷引用:陕西省宝鸡市、汉中市部分校2022-2023学年高三上学期11月期中联考文科数学试题
陕西省宝鸡市、汉中市部分校2022-2023学年高三上学期11月期中联考文科数学试题湖南省长沙市第一中学2022-2023学年高三上学期月考(二)数学试题江苏省南京市第十三中学2022-2023学年高三上学期学情调研四数学试题(已下线)江苏省盐城市、南京市2022届高三上学期1月第一次模拟考试数学试题变式题17-22(已下线)第6讲 数列的通项公式的11种题型总结(1)(已下线)微考点4-2 新高考新试卷结构数列的通项公式的9种题型总结
5 . 设数列
满足
,
.
(1)计算
,猜想
的通项公式;
(2)用数学归纳法证明上述猜想,并求
前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6672b832da87660e7919ea3f7d50bf0f.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe61d313eeca8ba47478a9de40540db8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)用数学归纳法证明上述猜想,并求
![](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)
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2022-08-12更新
|
483次组卷
|
3卷引用:陕西省宝鸡市金台区2022-2023学年高二下学期期中理科数学试题
6 . 在数列
中,
,
,且对任意的
,都有
.
(1)数列
的通项公式;
(2)设数列
,求数列
的前
项和
.
![](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/2693734765399876e9e93cdb110231c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209591cfb9f8271f5ad48d89f214f22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c548da8d22f8f7e63361f174e788250b.png)
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa51c8baa664d7444153182b7ff5ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a59e3c3932f7d3f4dd17518b32803c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-01-27更新
|
299次组卷
|
2卷引用:陕西省宝鸡市渭滨区2021-2022学年高二上学期期末文科数学试题
解题方法
7 . 已知数列
的前
项和
,判断
是否为等差数列.
![](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/68e3c2a7165780cddbb9afc6010a2f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2021-09-20更新
|
304次组卷
|
5卷引用:陕西省宝鸡市千阳县中学2023-2024学年高二上学期期末复习基础训练数学试题
解题方法
8 . 设Sn是数列{an}的前n项和,已知a1=3,an+1=2Sn+3(n∈N*).求数列{an}的通项公式.
您最近一年使用:0次
解题方法
9 . 记
为数列
的前
项和,
为数列
的前
项积.已知
.
(1)证明:数列
为等差数列.
(2)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](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/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce224c28ca451c4f105dc3b077736cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112b7cc9bb5f8df3800b567b104fc043.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2021-08-21更新
|
329次组卷
|
2卷引用:陕西省宝鸡市金台区2020-2021学年高一下学期期末数学试题
10 . 观察所给三角形数表,假设第
行的第二个数为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/5b3c479f-8ac2-4528-a7aa-416a99d617f4.png?resizew=295)
(1)求
的通项公式;
(2)用数学归纳法证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f3253892db0e99a1ab4cd3616871aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67e9fbab2878b9476bc581b6e185a28.png)
;
(3)若
,求上述数列的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ac819b9943d05898da18b175bc09224.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/5b3c479f-8ac2-4528-a7aa-416a99d617f4.png?resizew=295)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)用数学归纳法证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f3253892db0e99a1ab4cd3616871aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67e9fbab2878b9476bc581b6e185a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035937c12508091015aefe47f6c50519.png)
(3)若
![](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)
您最近一年使用:0次