1 . 已知数列
的首项为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60773b7f19156c6f850a77605bc29be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0382b4a2ab0657d2d6830bb6be2b17b6.png)
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2024-01-26更新
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1215次组卷
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5卷引用:安徽省阜阳市阜阳一中2023-2024学年高二下学期开学检测数学试题
安徽省阜阳市阜阳一中2023-2024学年高二下学期开学检测数学试题湖南省邵阳市2024届高三第一次联考数学试题广东省广州市广东实验中学2024届高三上学期第二次调研数学试题(已下线)第1讲:数列的函数性质应用【练】(已下线)专题01:等差等比判定及应用(三大类型)
2 . 数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceb2c03455b66b7014b3df7282c01db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d77060931748cee8c21b43d15033b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
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3 . 数列
满足
,且
,则数列
的前
项的和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d206a1662f9c69b187836c19aa0142b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0474a66dcdf88bde5beabc5adbd58402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780019495df34d40fff9d8f31bbf3e74.png)
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4 . 从教学楼一楼到二楼共有11级台阶(从下往上依次为第1级,第2级,
,第11级),学生甲一步能上1级或2级台阶,若甲从一楼上到二楼使用每一种方法都是等概率的,则甲踩过第5级台阶的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
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2023-12-23更新
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1097次组卷
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4卷引用:安徽省皖豫名校联盟2024届高中毕业班第二次联考数学试题
安徽省皖豫名校联盟2024届高中毕业班第二次联考数学试题(已下线)考点11 由实际问题探究递推关系 2024届高考数学考点总动员【练】(已下线)模块八 概率与统计(测试)重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题
名校
5 . 数列
满足
,
,记
为数列
的前n项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
________ .(用含m的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316b5d6779890069e877f081d1833883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7115630e98bb67bfd729ef33b5dd32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
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6 . 数列满足下列条件:
,且
,恒有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985eedc817e25a6c2754f3f186ed54bf.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12d0bd9afdd4e53ff37f5bfcaa1106c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044678e3c24e012d08a8482606c343eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985eedc817e25a6c2754f3f186ed54bf.png)
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7 . 已知数列
的前
项和为
,
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2778e2dadff4d91102e6046bb5def8.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f966272f7781790ff27e40db6b525253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3172a2dfbce3ce32fd909ff548e75b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2778e2dadff4d91102e6046bb5def8.png)
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2023-03-13更新
|
649次组卷
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5卷引用:安徽省滁州市实验中学等2校2022-2023学年高二上学期1月期末联考数学试题
名校
8 . 数列
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b11a699f3c68dfa0e69dff67f15fb9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5eb9b8f893dd71876349ad40724550.png)
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2023-02-25更新
|
693次组卷
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4卷引用:安徽省阜阳市颍上第一中学2022-2023学年高二下学期第一次月考数学试题
名校
解题方法
9 . 冰雹猜想是指:一个正整数x,如果是奇数就乘以3再加1,如果是偶数就析出偶数因数
,这样经过若干次,最终回到1.问题提出八十多年来,许多专业数学家前仆后继,依然无法解决这个问题.已知正整数列
满足递推式
请写出一个满足条件的首项
,使得
,而![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e705179132dd90f9679958ea148a6d5.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31971306914638e5ceb1bbe437535d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23daf0fe95cdbd578af388766421b023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d401016c7297eca60ac34ca5ae9f68d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287d1cf8d37a30e2cf890fb4cce63d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e705179132dd90f9679958ea148a6d5.png)
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2023-02-05更新
|
1427次组卷
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3卷引用:安徽省定远中学2023届高三下学期6月考前适应性检测数学试卷
10 . 已知数列
满足
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23fa0b1cec6c2df76b4fbf881c1729b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ae24989e8c045e092bf7be4334d4ce.png)
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