1 . 数列
是正整数
的任一排列,且同时满足以下两个条件:
;②当
时,
(
).记这样的数列个数为
.
(Ⅰ)写出
的值;
(Ⅱ)证明
不能被4整除.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9304e71a623c4412188a800046a970d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987e30395d91964ebd0395faf2f66600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8f93c54dad6360a159db2d17609ede.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd7b6f92256833e6b9b849db8d4cca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
(Ⅰ)写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e565b629c1cde32e9b627ef6b954d4.png)
(Ⅱ)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338326674cfb0887c21997a738905132.png)
您最近一年使用:0次
2017-11-13更新
|
909次组卷
|
2卷引用:北京市朝阳区2018届高三上学期期中统一考试 数学理
2 . 两千多年前,古希腊毕达哥拉斯学派的数学家曾经在沙滩上研究数学问题,他们在沙滩上画点或用小石子来表示数,按照点或小石子能排列的形状对数进行分类,如图2中的实心点个数1,5,12,22,…,被称为五角形数,其中第1个五角形数记作
,第2个五角形数记作
,第3个五角形数记作
,第4个五角形数记作
,…,若按此规律继续下去,得数列
,则
;对
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0939caf47d751f8c7139bd0b25fe98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5202b28df649fd77f8fa2891e8d36322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8df37c19d159ee58adf7d6be4a9552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e51ce19be3986f7239a9ca2b938599.png)
![](https://img.xkw.com/dksih/QBM/2013/2/24/1571121792516096/1571121798004736/STEM/06ecdf3e34fc40f3a973a509d1152701.png?resizew=495)
您最近一年使用:0次
2016-12-02更新
|
1480次组卷
|
5卷引用:2013届广东省湛江一中高三上学期期中考试理科数学试卷