设数列
的前n项和为
,点
在
的图像上.
(1)求数列
的通项公式;
(2)求
,且对任意的正整数n,均有
.证明:对任意
,总有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7119c1ea2321accb7e8bb391fa9c8a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16418488e7184ec275286d55e709a48d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8c7aac435710854216e3bca16176d7.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff58aa3ab29807fda113b73463e3e305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f8a0c487e4c80517667c359ee396b44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7486e37af3a2c7779b31ccc1523da0bf.png)
更新时间:2018-12-04 12:22:56
|
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解答题-问答题
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较难
(0.4)
【推荐1】已知数列
满足
.证明:在
中,最少可以找到672个无理数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086e9b14c35ef3c57b20f5e952ebf9c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8d0c862d8faaea48bc4d9886fc04fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0eb468c307522a61c54381dd37be7f.png)
您最近一年使用:0次
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(0.4)
【推荐2】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)
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
解题方法
【推荐1】设
个元素相乘:
,不改变其顺序,只用括号表示成对的乘积,试问有多少种添加括号的方案?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7c8739b6a5a39d329dd5d893fefbb6.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐2】数列
的首项
,该数列是公比为
的等比数列.记
,
.
(1)证明:当
时,对一切
,都有
.
(2)当
时,是否存在自然数
,使得对任何自然数
,都有
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5060ad37c403f248c937c1d59af5c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e0308ef7b393c5d276e63fd231ceea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7d132982ea9592f4fc83060de2c362.png)
(1)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dacc400d55a1a447d426d7a2312f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac69e6db1df13ed64756b4f391ae9fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226e35e0bfce719466bc876d46be066c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34f80ee7d8e493e8a40e411ca6328e3.png)
您最近一年使用:0次