已知数列{an}中,a1=2,
,求{an}的通项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23093a3f4c23494a943e3957596fee92.png)
2023高三·全国·专题练习 查看更多[1]
(已下线)第三篇 数列、排列与组合 专题4 数列的不动点 微点4 数列的不动点综合训练
更新时间:2023-05-23 21:41:55
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【知识点】 数列通项公式求解
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(0.4)
【推荐1】电脑每秒钟以相同的概率输出一个数字1或2.将输出的前
个数字之和被3整除的概率记为
.证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffb021aa7d5a5c2f0691e337caad624.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef12a7e06ce3ab13208e3224f8d55510.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b63b357470eb77cc75843509816bc18.png)
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较难
(0.4)
【推荐2】正数数列
的前n项为
,数列
的前n项和为
,且
.求数列
中最接近2013的数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4ba1d933bf78e858875fe09406e94c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
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