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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)列前
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項的和為
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,若
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為一個確定的常數(shù),則下列各數(shù)中也必為常數(shù)的是( )
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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)
已知整數(shù)列
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滿足
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,
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,前
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項依次成等差數(shù)列,從第
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項起依次成等比數(shù)列.
(1)求數(shù)列
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的通項公式;
(2)求出所有的正整數(shù)
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,使得
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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
(本題滿分12分) 已知點(1,
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)是函數(shù)
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且
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)的圖象上一點,等比數(shù)列

的前
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項和為
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,數(shù)列
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
的首項為
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,且前
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項和
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滿足
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-
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=
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+
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(
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).
(1)求數(shù)列
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和
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的通項公式;
(2)若數(shù)列{
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前
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項和為
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,問
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>
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的最小正整數(shù)
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是多少?
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
將數(shù)列{a
n}中的所有項按每一行比上一行多一項的規(guī)則排成如下數(shù)表:
a
1a
2 a
3a
4 a
5 a
6a
7 a
8 a
9 a
10……記表中的第一列數(shù)a
1,a
2,a
4,a
7,…構(gòu)成的數(shù)列為{b
n},b
1=a
1="1." S
n為數(shù)列{b
n}的前n項和,且滿足
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=1(n≥2).
(Ⅰ)證明數(shù)列{
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}成等差數(shù)列,并求數(shù)列{b
n}的通項公式;
(Ⅱ)上表中,若從第三行起,每一行中的數(shù)按從左到右的順序均構(gòu)成等比數(shù)列,且公比為同一個正數(shù).當(dāng)

時,求上表中第k(k≥3)行所有項的和.
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