名校
1 . 已知数列
,
且
为该数列的前
项和.
(1)猜想数列
的通项公式;
(2)计算
,猜想
的表达式,并用数学归纳法证明;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560632d1cb723b3cbb294e666d5efa23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)猜想数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf4e20ea341827ce5f9552daee39462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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2022-05-03更新
|
285次组卷
|
2卷引用:河南省焦作市温县第一高级中学2021-2022学年高二下学期6月月考文科数学试题
2 . 已知数列
满足
,
.
(1)证明:数列
为等比数列.
(2)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29518f13a1ebc3fff8181c2d7cfba22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/164659e154e10c13694e2f4a36a3d3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f19112256c661c47057ae72962a3a2a.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd7fe32cbbf55c0ef0edbfb99b31a55.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d1de52d5b738dd058b8afb7e77f337.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b708c8dcb2d66eb2ce0b3718a9cd924a.png)
您最近一年使用:0次
2022-01-16更新
|
2128次组卷
|
6卷引用:河南省南阳市第一中学校2021-2022学年高三上学期第一次网上训练数学(文)试题
河南省南阳市第一中学校2021-2022学年高三上学期第一次网上训练数学(文)试题河南省南阳地区2021-2022学年高二上学期期中热身摸底考试数学试题贵州省黔西南州2021~2022学年高二上学期期中考试数学(理)试题(已下线)专题二十 数列求和(已下线)专题27 数列求和-3(已下线)第7讲 数列求和9种常见题型总结 (3)
解题方法
3 . 记数列
的前
项和为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f902a2c1906cfbde1bebad7545f8477a.png)
(1)求
的值以及数列
前
项的和
;
(2)求证:
![](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/f902a2c1906cfbde1bebad7545f8477a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad30283cde5457c20e2e0a2bcdb80a03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe2e4f2600ad0fae3110fc23ab3d6b1.png)
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