1 . 已知数列
的每一项均取值1或
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6001c7e68e31cd06608b0e1f6f340895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989405832260b9601950338df5d05895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18fef2fc6beedca45cee89b5581cf20.png)
A.![]() | B.![]() | C.![]() | D.以上答案都不对 |
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2 . 若2020在p进制下的各位数字之和为
,则质数p的所有可能值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696e7efd064169049faa33a247c92b3f.png)
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3 . 设
是整数.对每个正整数
,令
为
在
进制表示下的非零数字的个数.证明:对于任意给定的正整数
和
,存在正整数
使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d1748a0e5fba63eac995e4388bb537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5809edaae5fd443ff3126d8ad0eaa1b5.png)
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