1 . 数列
是首项为
,公比为m的无穷等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b889efe020137b112bfafaa8e0becda4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8364a6ab3d52f1afc73e6edb55e7831c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31463b348f21711420670df9d7d03a8.png)
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2 . 已知数列
满足:
(
为正整数),则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a1ff4b763f21e17dee8c0f16fa854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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3 . 已知数列
为正项等比数列,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa69dde104dcf963e67647e801e0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e84a64684884dab5b38122de557e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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4 . 已知直线
:
.若点
在直线
上,则数列
的前n项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e212cdbfba6610bc55df2c1a737407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4976cb432a52c2316bc7dad303474c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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5 . 5和45的等比中项是_________________ .
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6 . 在3与15之间插入3个数,使这5个数成等差数列,则插入的3个数之和为__________ .
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7 . 已知
(其中
为正整数)是公比为
的等比数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669fd111ba41fd4ffd194b7ccea86b8.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/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200691eb362a4cd1b209e9618ac2741e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669fd111ba41fd4ffd194b7ccea86b8.png)
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8 . 已知无穷数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8971fecbdfff736245ab03a8702471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc27f9afd7e68f0e37bf8ac9f4d017.png)
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9 . 下图数阵的每一行最右边数据从上到下形成以1为首项,以2为公比的等比数列,每行的第
个数从上到下形成以
为首项,以3为公比的等比数列,则该数阵第
行
所有数据的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ba85f74cda4ddd621278e558bc036f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04c2864e2ec3416cc4c081ac1f71a0af.png)
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10 . 数列
中,
,则
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/144143bd6c8e422822745c16b86a2ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11075f2c574b6c59b97fb3038000e38.png)
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