名校
1 . 已知数列
的前n项和为
,满足
,且
,
.
(1)求
,
,
的值;
(2)猜想数列
的通项公式,并用数学归纳法予以证明.
![](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/f678e7e04f2240adb433ed8e8ed40639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c07ba166ca9af1ffde9dd49876b17a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2aa78c96db411c9e1e939ae16de78d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2020-03-24更新
|
349次组卷
|
2卷引用:吉林省梅河口市第五中学2019-2020学年高二5月月考数学(理)试题
名校
2 . 已知数列
,
,
,...,
,...,记数列的前
项和
.
(1)计算
,
,
,
;
(2)猜想
的表达式,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa210aa7061d1260ec53d69677e6e6bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b36c6ae456b05b0999a4bae5dfd363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c75b7566148cf657b31fe1b77a4cfb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c94ac7a76849a3d8ccb33dae6c6c8fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
(2)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2020-08-07更新
|
1117次组卷
|
7卷引用:【全国校级联考】吉林省榆树一中2017-2018学年高二下学期期中考试数学(理)试卷
名校
3 . 已知数列
中,
,
(Ⅰ)求
;
(Ⅱ)猜想
的表达式,并用数学归纳法证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925f52e9e8f9143a737f9d9edfc72325.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed6fe44bc49b478979589face327799.png)
(Ⅱ)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2017-08-17更新
|
1343次组卷
|
8卷引用:吉林省长春市第一中学2018-2019学年高二下学期第一次月考数学(理)试题
吉林省长春市第一中学2018-2019学年高二下学期第一次月考数学(理)试题山东省潍坊市2016-2017学年高二下学期期末考试数学(理)试题山东省潍坊寿光市2016-2017学年高二下学期期末考试理数试题(已下线)专题6.6 数学归纳法(讲)- 浙江版《2020年高考一轮复习讲练测》山西省太原市第二十一中学2019-2020学年高二下学期期中数学(理)试题安徽省合肥168中学凌志班2019-2020学年高二(下)入学数学(理科)试题(已下线)考点65 数学归纳法(讲解)-2021年高考数学复习一轮复习笔记(已下线)专题7.6 数学归纳法(练)-2021年新高考数学一轮复习讲练测
4 . 用数学归纳法证明对一切
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d713c35f8ec7c0543c3daf44be9e2912.png)
您最近一年使用:0次
2017-07-24更新
|
722次组卷
|
2卷引用:吉林省实验中学2016-2017学年高二下学期期中考试数学(理)试题
5 . 在数列
中,
,且
,
(Ⅰ)求
的值;
(Ⅱ)归纳
的通项公式,并用数学归纳法证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03b9ec5725898e5ea5adabbf9e7c030.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed529240a883f68f0921e818addeb9c8.png)
(Ⅱ)归纳
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次