1 . 依次计算数列
,
,
,
,
的前4项的值,由此猜想
(
)的结果,并用数学归纳法加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a823c4aabcaf874d108d5d3ac2adb07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbf4e4c17a5d3f28e36e2c15e3f4617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55b601bbb4b54b2eabf2f11babc7a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce3928e693df7337646ceaf67a291e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4479baf2fe68e80ac91786e9b53a84ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
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名校
2 . 用数学归纳法证明
,则从
到
时左边添加的项是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a44174e7bb47e032bf7ce0ba33f495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b00f4eb7f1bd2ccefbabf0c1dfa8f69.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-03-25更新
|
2008次组卷
|
10卷引用:上海市奉贤区致远高级中学2022-2023学年高二上学期期末数学试题
上海市奉贤区致远高级中学2022-2023学年高二上学期期末数学试题辽宁省鞍山市第一中学2018-2019学年高二下学期期中数学(理)试题河南省林州市第一中学2019-2020学年高二4月月考数学(理)试题新疆昌吉回族自治州昌吉州第二中学2019-2020高二下学期期中考试数学(理科)试题宁夏石嘴山市平罗中学2019-2020学年高二下学期复学学业成绩检测数学(理)试题广西南宁三中2019-2020学年下学期高二期末考试(重点班)理科数学试题(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新疆昌吉教育共同体2020-2021学年高二下学期期中考试数学(理)试题(已下线)上海市华东师范大学第二附属中学2021-2022学年高二下学期期中数学试题河南省安阳市汤阴县第一中学2019-2020学年高二下学期4月月考数学(理科)试题
3 .
统计学中将
个数
的和记作
(1)设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e44b9f978f064998129ba8d3b6ddf3.png)
,求
;
(2)是否存在互不相等的非负整数
,
,使得
成立,若存在,请写出推理的过程;若不存在请证明;
(3)设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae6558e11384a40f3a338b73385ee1.png)
是不同的正实数,
,对任意的
,都有
,判断
是否为一个等比数列,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eab329a4b1aaf89eea2f73d83959dfd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f3fad909cf570d7f25d10f59e67f0b.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e44b9f978f064998129ba8d3b6ddf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fc82353331abee0828dee9b38c08f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657c8449fc4369cd27df10c230953130.png)
(2)是否存在互不相等的非负整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d02a8555da4dbbc7820a50a95b071ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317488d9acc73e487ca6468570102661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b7348adfe11cdd20566bd5db195db.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae6558e11384a40f3a338b73385ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30f0c33581d65209dbb0aaff67f55b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c4cdcb32e3a0ce527c13978c022a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f587e9183ff15195bf48f63e72d835.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cfe87b7d5b2ac6dd669c1561c9f831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ae6558e11384a40f3a338b73385ee1.png)
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