已知数列
的首项为
,对于任意的正自然数
.
(1)求证:数列
为等比数列;
(2)若
,求满足条件的最大整数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea8d0e50065114b05ef2dc1ea1129cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16bb2040baa853982100044f8ed892ba.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213e22890204937a5dded4436369390f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2436835786fb448f6ca1a54e85345ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
22-23高三上·浙江·开学考试 查看更多[2]
更新时间:2022-09-03 13:35:08
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解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】已知正项数列
的前
项和为
(
为自然对数的底数),
.
(1)证明:
是等比数列.
(2)设
,证明:
.
![](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/4927813e6542c468f68277fc22e55cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c0a11c70ed77ffd39338b8ba85b788.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040f82ebeaecc28b2017b70bc95f3ac8.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d32ae1d3cf3146fa4503ae5cabb998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c660f79db8b36fd6f465211bf453e6ad.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知数列
的前
项和为
,若
,且
.
(1)求证:
为等比数列;
(2)求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.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/88d60948fb65e86c170ede4c1cd9fc4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93dba1839b254878bae122c3c8238307.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f572bc987c60ef6f1e93ea2f6f3463f5.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a4465705237c08e4e05d849cb28d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
【推荐1】已知数列
为公差大于0的等差数列,其前
项和为
,
,
.
(1)求数列
的通项公式;
(2)设
,求数列
的前100项和
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![](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/fca2cc2768794136c1e4da47d2f0873e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93e8ff6cc6933a2a2739753151ff95d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ae3f09f40910e36e21c25e91f9115b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00136ab4fd69ba9c28b47cd38442dc3a.png)
您最近一年使用:0次
【推荐2】已知数列
满足
且
.
(1)求数列
的通项公式.
(2)求数列
的前100项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cb31bb1d3bbd02e8155e380ad4d319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c9965a04c2a6de04e949a15762f372.png)
您最近一年使用:0次