精英家教网 > 高中数学 > 题目详情

已知数列的前项和为,且

(Ⅰ)求数列的通项公式;

(Ⅱ)设

求使恒成立的实数的取值范围.


解:(I)由可得,∵, ∴

,即

∴数列是以为首项,公比为的等比数列,∴

(Ⅱ)

 

对任意恒成立,即实数恒成立;

∴当时,数列单调递减,时,数列单调递增;

,∴数列最大项的值为


练习册系列答案
相关习题

科目:高中数学 来源: 题型:


已知数列{an}是首项为-1,公差d 0的等差数列,且它的第2、3、6项依次构成等比数列{ bn}的前3项。

(1)求{an}的通项公式;

(2)若{ bn}的前项和为Sn,求使得Sn﹤400的n的最大值。

查看答案和解析>>

科目:高中数学 来源: 题型:


已知函数,对任意都有,且是增函数,则      

查看答案和解析>>

科目:高中数学 来源: 题型:


为抛物线的焦点,为该抛物线上三点,若

的值为

A.               B.              C.              D.12

查看答案和解析>>

科目:高中数学 来源: 题型:


在直角坐标系中,以原点为极点,轴的正半轴为极轴建立极坐标系.若点

直线上一点,点为曲线为参数)上一点,则的最小值为            .

查看答案和解析>>

科目:高中数学 来源: 题型:


函数的定义域是

    A. B.    C. D.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

查看答案和解析>>

科目:高中数学 来源: 题型:


设双曲线的两条渐近线与直线分别交于两点,为该双曲线的右焦点.若, 则该双曲线的离心率的取值范围是

A.          B.C.        D.

查看答案和解析>>

科目:高中数学 来源: 题型:


由直线上的一点向圆引切线,则切线长的最小值为(     )

A.1             B.            C.               D.3

查看答案和解析>>

科目:高中数学 来源: 题型:


10名工人某天生产同一种零件,生产的件数是15,17,14,10,15,17,17,16,14,12.设其平均数为a,中位数为b,众数为c,则有

(A)       (B)        (C)       (D)

查看答案和解析>>

同步练习册答案