本題主要考查等差數(shù)列的性質(zhì),由題意有,
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.又
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.故選A
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
在數(shù)列
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中,若點
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在經(jīng)過點(5,3)的定直線
l上,則數(shù)列
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的前9項和
S
9=
.
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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
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,其中
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是首項為1,公差為1的等差數(shù)列;
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是公差為
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的等差數(shù)列;
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是公差為
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的等差數(shù)列(
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).
(1)若
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,求
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;
(2)試寫出
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關(guān)于
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的關(guān)系式;
(3)續(xù)寫已知數(shù)列,使得
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是公差為
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的等差數(shù)列,……,依次類推,把已知數(shù)列推廣為無窮數(shù)列. 提出同(2)類似的問題,并進(jìn)行研究,你能得到什么樣的結(jié)論?
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
在數(shù)列
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中,
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,

,其中
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.
(I)求數(shù)列
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的通項公式;
(II)求
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的最大值.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
21.(本小題滿分14分)
設(shè)
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是數(shù)列
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的前
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項和,且
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是
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和
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的等差中項.
(1)求數(shù)列
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的通項公式;
(2)當(dāng)
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(
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均為正整數(shù))時,求
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和
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的所有可能的乘積
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之和
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;
(3)設(shè)
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,求證:
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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
等差數(shù)列{
an}中,
a4+
a10+
a16=30,則
a18
2
a14的值為 ( )
A. 10 | B. 20 | C.10 | D.20 |
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
數(shù)列
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滿足:
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,則
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的值為_________ .
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