. 數(shù)列
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中,
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,且
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,又設(shè)
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(1)求證:數(shù)列
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是等比數(shù)列; (2)求數(shù)列
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的通項公式; (3)設(shè)
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(
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),求數(shù)列
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的前
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項的和
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本小題滿分16分)設(shè)數(shù)列
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的前n項和為
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,已知
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為常數(shù),
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),eg
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(1)求p,q的值;
(2)求數(shù)列
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的通項公式;
(3)是否存在正整數(shù)m,n,使
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成立?若存在,求出所有符合條件的有序?qū)崝?shù)對(m,n);若不存在,說明理由。
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本題滿分12分) 本題共有2個小題,第1小題滿分5分,第2小題滿分7分.
已知函數(shù)
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,數(shù)列
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滿足
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,
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.
(1)若數(shù)列
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是常數(shù)列,求
a的值;
(2)當(dāng)
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時,記
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,證明數(shù)列
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是等比數(shù)列,并求
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.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
設(shè)數(shù)列
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的前
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項和為
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,且
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;數(shù)列
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為等差數(shù)列,且
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.
(1)求數(shù)列

的通項公式;
(2)若
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(
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=1,2,3…),
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為數(shù)列
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的前
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項和.求
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.
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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
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,公差大于
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,且
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是方程
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的兩根,數(shù)列
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前
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項和
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.
(Ⅰ)寫出數(shù)列
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、
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的通項公式;
(Ⅱ)記
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,求證:
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本小題滿分12分)
已知各項均為正數(shù)的數(shù)列
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中,
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是數(shù)列
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的前
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項和,對任意
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,有
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(1)求常數(shù)
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的值;
(2)求數(shù)列

的通項公式;
(3)記
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,求數(shù)列

的前
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項和
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。
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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

的前
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項和為

.
(Ⅰ)求數(shù)列
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的通項公式
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;
(Ⅱ)記
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,求數(shù)列
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的前
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項和
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.
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
若數(shù)列
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滿足:
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,
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,則數(shù)列
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的前
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項和數(shù)值最大時,
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的值是
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
設(shè)數(shù)列
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是等差數(shù)列,則 ( )
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