1 . 等比数列
的公比为2,且
成等差数列.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab965b07c18f28056b98143e06ee3ad1.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab635d6878425839863e10b829d829c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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解题方法
2 . 已知正项等比数列
,其前
项和为
,且
成等差数列,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d1e6f356ea7529b3eb5654fd725fec.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/ef147a0c77e88348c906afb80a84c148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67f1203c3fdc21d671e440fc0585f4f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知单调递增的等比数列
满足
,且
是
,
的等差中项.
(1)求数列
的通项公式;
(2)若
,
,对任意正整数n,
恒成立,试求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0a7119b83fe8f9d19944fc481b562c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0de2e009f8ab1ba18b9f87ac1085ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a647d80fa124c0038996d1530470eb22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7dcca2acb8fb6e6a6933a02e0a130b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2d12668952df4136f6df2a024a484a.png)
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解题方法
4 . 自然界中存在一个神奇的数列,比如植物一年生长新枝的数目,某些花朵的花数,具有1,1,2,3,5,8,13,21……,这样的规律,从第三项开始每一项都是前两项的和,这个数列称为斐波那契数列.设数列
为斐波那契数列,则有
,以下是等差数列的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6fc39454b7dc1c5400c0129417c823.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-17更新
|
511次组卷
|
3卷引用:浙江省金华十校2022-2023学年高二上学期期末数学试题
5 . 已知
为等差数列
的前
项和,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164afbf55ea7cd7d66158620616e604e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af1f1b7e9e20d799ee3c06b89a0611c.png)
您最近一年使用:0次
2021-10-22更新
|
645次组卷
|
2卷引用:2023年浙江省普通高中学业水平考试押题预测数学试题
6 . 若
的展开式中前三项的系数成等差数列,则展开式中
项的系数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c959fe049b40464fbf81a992abbcde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3336c8ed5361c10c37300e41e03f9f2f.png)
A.6 | B.7 | C.8 | D.9 |
您最近一年使用:0次
2022-11-12更新
|
1434次组卷
|
3卷引用:浙江省杭州市学军中学2022-2023学年高二下学期3月月考数学试题