南宋数学家杨辉所著的《详解九章算法.商功》中出现了如图所示的形状,后人称之为“三角垛”. “三角垛”最上层有1个球,第二层有3个球,第三层有6个球,
,以此类推. 设从上到下各层球数构成一个数列
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/1/c857ba63-20b6-437e-8b7b-d265bf36ec9a.png?resizew=120)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/1/c857ba63-20b6-437e-8b7b-d265bf36ec9a.png?resizew=120)
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更新时间:2023-01-16 23:43:28
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【推荐1】如图的形状出现在南宋数学家杨辉所著的《详解九章算法·商功》中,后人称为“三角垛”.“三角垛”最上层有1个球,第二层有3个球,第三层有6个球,….设第
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【推荐2】分形几何学是一门以不规则几何形态为研究对象的几何学,分形的外表结构极为复杂,但其内部却是有规律可寻的,一个数学意义上的分形的生成是基于一个不断迭代的方程式,即一种基于递归的反馈系统
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多选题
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较易
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名校
解题方法
【推荐1】数列{
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解题方法
【推荐2】在数列
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【推荐1】南宋数学家杨辉所著的《详解九章算法·商功》中出现了如图所示的形状,后人称为“三角垛”“三角垛”的最上层有1个球,第二层有3个球,第三层有6个球,…,设各层球数构成一个数列
,且
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的前n项和为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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