名校
解题方法
1 . 已知数列
的前
项和为
,当
时,
.
(1)求数列
的通项公式;
(2)证明:当
时,
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f90644b6975990131409ecc7c17be9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f037347f5f5e1b043f2aea9cfab7a672.png)
您最近一年使用:0次
2020-04-06更新
|
490次组卷
|
3卷引用:云南师范大学附属中学2019-2020学年高三高考适应性月考(六)数学(理)试题
名校
解题方法
2 . 已知数列
的前
项和为
,当
时,
.
(1)求数列
的通项公式;
(2)当
时,证明:
(i)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c54940a20f13adc555fa06f14e873f.png)
(ii)
![](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/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f90644b6975990131409ecc7c17be9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c54940a20f13adc555fa06f14e873f.png)
(ii)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f037347f5f5e1b043f2aea9cfab7a672.png)
您最近一年使用:0次
2020-04-06更新
|
253次组卷
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2卷引用:云师大附中2019-2020学年高三高考适应性月考(六)数学(文)试题
名校
3 . 设数列{an}的前n项和Sn满足Sn=
,且a1,a2+1,a3成等差数列.
(1)求数列{an}的通项公式;
(2)记数列
的前n项和为Tn,求证:
Tn<1.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040abc1df7e9b3abb725d11389771e27.png)
(1)求数列{an}的通项公式;
(2)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd87591c1c51455f9b6fe6f824b05ad.png)
您最近一年使用:0次
4 . 已知数列
满足
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
是等比数列,并求数列
的通项公式;
(2)证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde69fee0812fdc64dbbee7e48527b90.png)
(1)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f331591a8a32f3e781af90af3a53154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460051e994f6e23bd5810a40f7bd21a.png)
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2017-11-27更新
|
539次组卷
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2卷引用:云南省曲靖市第一中学2018届高三高考复习质量监测卷(四)文科数学试题
5 . 在数列
中,
.
(1)求证:数列
是等比数列;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d8c6a8f726e7041e7195386c4c8d8a.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf62534674a87088c8366e5c25888638.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a454ec969d0c8b221a06895f79f710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
6 . 设数列
的前
项和为
,对任意正整数
,
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2303a19bbdf3f719593f5b68301ed13.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74673c68ee89995f38eecc3d10c0e9ac.png)
您最近一年使用:0次
2016-12-04更新
|
764次组卷
|
3卷引用:2016届云南省高三下学期第一次高中毕业生复习统一测试理科数学试卷