1 . 已知
.
(1)当
时,求数列
前n项和
;(用
和n表示);
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df01ee4af024a5f1f9e8f7f89c36906.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22fec5a381ae8aca93d876e54c79de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a55e4115c36490a40f83d15f066bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbca4e75467a074a6937d43fabc8a040.png)
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2019-12-12更新
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3卷引用:2005年普通高等学校招生考试数学(理)试题(天津卷)
2005年普通高等学校招生考试数学(理)试题(天津卷)(已下线)上海市华东师范大学第二附属中学2018-2019学年高一下学期期末数学试题沪教版(上海) 高三年级 新高考辅导与训练 第四章 数列与数学归纳法 四、数列的极限
真题
2 . 已知
是等差数列,其前n项和为Sn,
是等比数列,且
,
.
(Ⅰ)求数列
与
的通项公式;
(Ⅱ)记
,
,证明
(
).
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/122e4095de9c438b83b6d8ab15dc8b44.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/a64834c6aa104d5ca2cdc4cafaa6f6b7.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/f96e4c86745e44c1b2354d4071bf7401.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/95dd55929e3c4195b0e4d9f1781373e5.png)
(Ⅰ)求数列
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/122e4095de9c438b83b6d8ab15dc8b44.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/a64834c6aa104d5ca2cdc4cafaa6f6b7.png)
(Ⅱ)记
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/b20dfae231c04fb2b10f83312bf91313.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/c04760633ad54f5a866a340bbfdc7a08.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/262e9911911544759d4a216eb312f7a1.png)
![](https://img.xkw.com/dksih/QBM/2012/7/6/1570917326241792/1570917331623936/STEM/c04760633ad54f5a866a340bbfdc7a08.png)
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