已知数列
满足
,
是以
为首项,
为公差的等差数列.
(1)求
的通项公式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若数列
的前
项和
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82c65a855b1eed9c43e6829f6c3bffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cf1da18d91f7c98086553d157d1a87.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/2b69f65365b0845d14e64cad8f395f23.png)
更新时间:2023-03-13 08:32:29
|
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】已知数列
、
满足
,
,当
时,
.
(1)求数列
、
的通项公式;
(2)若
,数列
的前
项和为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b3cf64372426d1d2faff63d34fdcd9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4d0fcb4e1c1ab94b6405a91e604ed9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93d7863682b3055fa41ae7006e78baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.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/2564079f6a99a191bd2f76a985971ebc.png)
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【推荐2】已知数列{an}满足a1=1,(n+1)an+1=nan+n+1.
(1)求数列{an}的通项公式;
(2)Sn为数列
的前n项和,求证:
.
(1)求数列{an}的通项公式;
(2)Sn为数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba57c83d526ac308d1461e80fcca9f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352e99ddeb4b3e2db7f9e7a0802afd3d.png)
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解答题-问答题
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适中
(0.65)
【推荐1】已知数列
}满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879f2cbe4fe7e392d3af5b9d4d9544ae.png)
(Ⅰ) 试求
的值;
(Ⅱ)记数列
的前
项和
,若对
恒有
,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879f2cbe4fe7e392d3af5b9d4d9544ae.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94596e2d955050a7b56052d6efdc422.png)
(Ⅱ)记数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6da44fd766c35eef8b00c50eedb5fb53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-证明题
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适中
(0.65)
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【推荐2】设数列{an}前n项和为Sn,满足Sn+1=4an+2(n∈N+),且a1=1,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da9a8e5d37bd5c908435e602b5f1122.png)
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您最近半年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】已知数列
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.
(1)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96f4f374b70927ce0f4042c1ea9ef8a.png)
(1)求
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(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.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/08eb71ecf8d733b6932f4680874dbbf3.png)
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【推荐2】已知数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afe0ec83ff1fcc91413c666d5708257.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afe0ec83ff1fcc91413c666d5708257.png)
(1)求数列
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(2)记
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适中
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【推荐1】在数列
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(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
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(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0f044dc82a12fd1c71872f2ac12d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127ebc6b811238d1ad7b84a831f326dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
您最近半年使用:0次
解答题-问答题
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适中
(0.65)
名校
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【推荐2】已知正项数列
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是否构成等比数列(注:
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的前n项和)?请说明理由;
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