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已知数列{an}中,,数列{bn}满足.(1)求证:数列{bn}是等差数列;(2)求数列{...
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已知数列{a
n}中,
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)
,数列{b
n}满足
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHEAAAAqCAYAAACEN7TkAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
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+3XUAAAAAElFTkSuQmCC
)
.
(1)求证:数列{b
n}是等差数列;
(2)求数列{a
n}中的最大项和最小项,并说明理由.
相关试题
-
已知函数
,数列{an}满足an=f(an-1)(n≥2,n∈N+).
(Ⅰ)若
,数列{bn}满足
,求证:数列{bn}是等差数列;
(Ⅱ)若
,数列{an}中是否存在最大项与最小项,若存在,求出最大项与最小项;若不存在,说明理由;
(Ⅲ)若1<a1<2,试证明:1<an+1<an<2.
-
已知函数
,数列{an}满足an=f(an-1)(n≥2,n∈N+).
(Ⅰ)若
,数列{bn}满足
,求证:数列{bn}是等差数列;
(Ⅱ)若
,数列{an}中是否存在最大项与最小项,若存在,求出最大项与最小项;若不存在,说明理由;
(Ⅲ)若1<a1<2,试证明:1<an+1<an<2.
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,数列{an}满足an=f(an-1)(n≥2,n∈N+).
(Ⅰ)若
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(2)若
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