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设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,都有点(an+1,Sn)在直线...
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设数列{a
n}的前n项和为S
n,a
1=1,且对任意正整数n,都有点(a
n+1,S
n)在直线2x+y-2=0上.若数列{S
n+
}为等差数列,则λ的值为( )
A.
B.-
C.2
D.-2
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设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,都有点(an+1,Sn)在直线2x+y-2=0上.若数列{Sn+}为等差数列,则λ的值为( )
A.
B.-
C.2
D.-2
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设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(1)a2,a3.
(2)数列{an}的通项公式.
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数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)是否存在实数λ,使得数列{}为等差数列?若存在,求出λ的值;若不存在,则说明理由.
(Ⅲ)已知数列{bn},,bn的前n项和为Tn,求证:.
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设数列{an}的前n项和为Sn,a1=1且对于任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(1)求数列{an}的通项公式;
(2)设数列{bn}满足:bn=nan,Tn为数列{bn}的前n项和,求证:当n≥2时,Tn<4.
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设数列{an}的前n项和为Sn,a1=1且对于任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(1)求数列{an}的通项公式;
(2)设数列{bn}满足:bn=nan,Tn为数列{bn}的前n项和,求证:当n≥2时,Tn<4.
-
设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(Ⅰ)求数列{an}的通公式;
(Ⅱ)若bn=(n+1)an,求数列{bn}的前n项和Tn.
-
设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(Ⅰ)求数列{an}的通公式;
(Ⅱ)若bn=(n+1)an,求数列{bn}的前n项和Tn.
-
设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)是否存在实数λ,使得数列为等差数列?若存在,求出λ的值;若不存在,则说明理由.
(Ⅲ)求证:.
-
设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(1)求数列{an}的通项公式;
(2)是否存在实数λ,使得数列为等差数列?若存在,求出λ的值,若不存在,则说明理由;
(3)设{bn}满足:为数列{bn}的前n项和,求证:.
-
设数列{an}的前n项和为Sn,a1=1,且对任意正整数n,点(an+1,Sn)在直线2x+y-2=0上.
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)是否存在实数λ,使得数列为等差数列?若存在,求出λ的值;若不存在,则说明理由.
(Ⅲ)求证:.