把正整数按如下规律排列:1,2,2,3,3,3,4,4,4,4,5,……,构成数列
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba351d518c310f48163b49a444ba981c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba351d518c310f48163b49a444ba981c.png)
2023·四川凉山·一模 查看更多[4]
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更新时间:2023-01-14 16:04:07
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【推荐2】在数学课堂上、教师引导学生构造新数列:在数列的每相邻两项之间插入此两项的和,形成新的数列,再把所得数列按照同样的方法不断构造出新的数列,例如将数列1,2进行构造,第一次得到数列1,3,2;第二次得到数列1,4,3,5,2;第
次得到数列1,
,
,
,…,
,2(共
项),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc321599521a98661ed719cc82ca87c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4792fd59c4ca11ff03dc32e367c3983f.png)
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解题方法
【推荐1】已知数列
的前
项和为
,则数列
的前2024项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9018940318b725158ae598c0c5fc0ea5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3137442edc9033ee75c2693af5ae0239.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/8050391385b496e9c059201e4f12600a.png)
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解题方法
【推荐2】已知等差数列
的前n项和为
,满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c437d9fad169fc7df2a9abc8f45f40a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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