解题方法
1 . 在一个数列中,如果对任意
,都有
为常数
,那么这个数列叫做等积数列,
叫做这个数列的公积.已知数列
是等积数列,且
,公积为
,记
的前
项和为
,则:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
__________ .
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8fa05c8934feeb57973e671bb8442e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28652e52c0b02a343e618935ea625cbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/781311fb277b2bb6c4044e042a15f025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cefeddf71dca8ae824328df3f0e5e1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.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)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8fa05c8934feeb57973e671bb8442e.png)
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2016-12-03更新
|
857次组卷
|
5卷引用:2015届湖南省长浏宁三一中高三5月模拟考试文科数学试卷
2015届湖南省长浏宁三一中高三5月模拟考试文科数学试卷2015-2016学年湖南省株洲县五中高二下学期第一次月考理科数学试卷(已下线)专题9 周期数列 微点3 周期数列综合训练(已下线)专题13 等积数列 微点1 等积数列常见问题(已下线)专题13 等积数列 微点2 等积数列综合训练
2010·湖南·一模
2 . 定义运算符号“
”:表示若干个数相乘,例如:
.记
.
其中
为数列
中的第
项.
(1)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029f140d2209d360a666232e583b4e6.png)
_______ ;
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a41edb164fa81d1266f00f86457a40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662bc9fcc35805f97e56e402aa5d39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69cccd2f09eb00405fa436838b2f9284.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b97be34dc91400e74a9dd5f143fee73.png)
![](https://img.xkw.com/dksih/QBM/2010/5/6/1569716053344256/1569716058529792/STEM/88d2e75a2c174c33af7972aea7f427ca.png?resizew=9)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677e46ecd051c92489c0d1d458932f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029f140d2209d360a666232e583b4e6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56b26dc2b808affc78980d07278928b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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