题目内容
已知数列{bn}前n项和
.数列{an}满足
,数列{cn}满足
.
(1) 求数列{an}和数列{bn}的通项公式;
(2)
若
对一切正整数n恒成立,求实数m的取值范围.
【答案】
18.(1) 当
时,![]()
又
适合上式
∴
![]()
由
·························································· 6分
(2)
∵
![]()
当n > 1时,![]()
当n = 1时,![]()
∴ {cn}的最大项为
∴
![]()
∴
![]()
∴
实数m的取值范围为
················································ 13分
【解析】略
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