1 . 设
,
,
,将
的最小值记为
.则当
是偶数时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
__________ ;当
是奇数时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8ae469587300aece24a0599a630c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff741c0506b0619fe6c7b1990013af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7978d7bd6f6caf9ac9837ffce5f89654.png)
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2 . 杨辉三角,又称帕斯卡三角,是二项式系数在三角形中的一种几何排列.在我国南宋数学家杨辉所著的《详解九章算法》一书中用如图所示的三角形解释二项展开式的系数规律.现把杨辉三角中的数从上到下,从左到右依次排列,得数列:
.记作数列
,若数列
的前
项和为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e8149e93e8622a109580970db5abfd.png)
___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154febe3c6f31577c39ddc619450c6c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e8149e93e8622a109580970db5abfd.png)
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