1 . 设数列{an}的前n项和为Sn,已知S1=2,an+1=Sn+2.
(1)证明:{an}为等比数列;
(2)记bn=log2an,数列
的前n项和为Tn,若Tn≥10恒成立,求λ的取值范围.
(1)证明:{an}为等比数列;
(2)记bn=log2an,数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a20e4debab81a7a338fd6bd1812012.png)
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2021-04-16更新
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7卷引用:【市级联考】福建省泉州市2019届普通高中毕业班第二次质量检查文科数学试题
【市级联考】福建省泉州市2019届普通高中毕业班第二次质量检查文科数学试题福建省莆田市华侨中学2022-2023学年高二上学期期末质量监测数学试题【市级联考】西藏拉萨市2019届高三第三次模拟考试数学(文)试题2020年普通高等学校招生全国统一考试理科数学样卷(十)(已下线)第25讲 等比数列及其前n项和-2021年新高考数学一轮专题复习(新高考专版)(已下线)解密04 数列求和及综合问题(讲义)-【高频考点解密】2021年新高考数学二轮复习讲义+分层训练(已下线)第04讲 数列求和(讲)
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2 . 已知正项数列
的首项为1,其前
项和为
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af93a69f9b370cd469ea70f346a293a9.png)
+
(
≥2).
(I)求证:数列
为等差数列,并求数列
的通项公式;
(Ⅱ)记数列
的前
项和为
,若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/af93a69f9b370cd469ea70f346a293a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c2663aa2e69ddc18269e43c118c6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed4f54c03dab6737996196a2ca99601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(I)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832d1e3a06f59a35396aac6e12c5e2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(Ⅱ)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5167f4f9fa6de59c4a9c243fb159f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27bc28f4b5aa7fb110945a5c72e354b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2卷引用:【校级联考】福建省闽侯二中五校教学联合体2017-2018学年高二上学期期中考试数学(理)试题