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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957535613.png)
是公差為
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957551291.png)
的等差數(shù)列,且
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957551371.png)
.
(1)求數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957582481.png)
的通項公式;
(2)設(shè)數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957598577.png)
的前
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957598297.png)
項和為
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957613373.png)
.
證明:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044957629671.png)
.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知等差數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728578481.png)
的前
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728593297.png)
項和為
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240437286251052.png)
,且
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728640344.png)
、
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728656352.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728671346.png)
成等比數(shù)列.
(1)求
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728687313.png)
、
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728687311.png)
的值;
(2)若數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728703491.png)
滿足
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728718812.png)
,求數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728703491.png)
的前
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728593297.png)
項和
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824043728765373.png)
.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237378456.png)
的相鄰兩項
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237393348.png)
,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237409400.png)
是關(guān)于
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237424275.png)
方程
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237456712.png)
的兩根,且
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237471370.png)
.
(1)求證:數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237487699.png)
是等比數(shù)列;
(2)求數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237378456.png)
的前
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237627277.png)
項和
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237643388.png)
;
(3)設(shè)函數(shù)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408240342376581047.png)
,若
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237674553.png)
對任意的
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237705519.png)
都成立,求實數(shù)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824034237721267.png)
的取值范圍.
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
記等比數(shù)列{a
n}的前n項和為S
n,公比q=2,則
=______.
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
設(shè)S
n表示等差數(shù)列{a
n}的前n項和,已知
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824054504242498.png)
,那么
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824054504257405.png)
等于 ( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
已知數(shù)列{a
n}的前n項和為S
n,對任意的n∈N
*有S
n=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824053209903382.png)
a
n-
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824053209903382.png)
,且1<S
k<12,則k的值為( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510588418.png)
滿足
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510604711.png)
表示
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510588418.png)
前n項之積,則
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510635401.png)
的值為( )
A.-3 |
B.![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510635378.png) |
C.3 |
D.![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824044510651386.png) |
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
數(shù)列
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824050708759480.png)
的通項公式
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824050708775713.png)
,則該數(shù)列的前_________項之和等于
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824050708791291.png)
.
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