已知等差数列
的前
项和为
,且
,设数列
的前
项和为
,且
.
(1)求数列
和
的通项公式;
(2)设
,求数列
的前
项和为
.
![](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/32716a53b3e6846a14d7ef2d1309ec48.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/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1e2f3932bd1b5349e7f47b7c85a3f9.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac07953530e3c248b3438fb200fb1661.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
22-23高二上·浙江湖州·期末 查看更多[2]
更新时间:2023-03-08 16:12:21
|
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【推荐1】数列
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,数列
是公差为
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(1)求数列
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40f56c314b8b48b5bc9bb557244c011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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您最近一年使用:0次
【推荐2】等差数列
的前
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,
.
(1)求数列
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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
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解答题-问答题
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适中
(0.65)
【推荐1】设数列
的前
项和为
,且
;数列
为等差数列,且
.
(Ⅰ)求数列
的通项公式;
(Ⅱ)若
,
为数列
的前
项和,求
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/262ffafc9263462a9266ce0f8ad6197a.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/b0f8f0c64f884a21bb1a708dc2a013d6.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/ffa6da2572bf4751a0172fb09faa5eda.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/36c4c23aa86a4fbda7ee0c5336f476a4.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/9123204fced64db8b1c3e821c405161c.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/9b53d79ac7ff4c68a033766f8be7f940.png)
(Ⅰ)求数列
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/262ffafc9263462a9266ce0f8ad6197a.png)
(Ⅱ)若
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![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/bd788a64c93a4f4d809d12bc55b3688e.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/b0f8f0c64f884a21bb1a708dc2a013d6.png)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689034166272/1570689039523840/STEM/074d3d47fdce48d9a11d930f12d060d0.png)
您最近一年使用:0次
【推荐2】已知数列
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(1)证明:
为等差数列,并求
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(2)令
,
,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf2a234b8102356b2c13a3c0b75a00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd6a821825904d9e90fdd97d823097b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb217a2125c3089bff96bb95569ccbe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e002c016766bdb026ab5096a76b0569e.png)
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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】已知正项数列
的前
项和为
,且
,
.
(1)求数列
的通项公式
;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e191086446263b7bbbd93613577c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad6933c0370a0ee2c2d05eba23027281.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
解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】设数列
的前
项和为
,已知
.
(1)求
的值,并求数列
的通项公式;
(2)若数列
为等差数列,且
,
.设
,数列
的前
项和为
,证明:对任意
,
是一个与
无关的常数.
![](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/2a949de98f4a687d4cbc5f8f748117a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若数列
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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您最近一年使用:0次