數(shù)列
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滿足
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,若
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,則數(shù)列
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的第2010項(xiàng)
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的值為 ( )
本題考查數(shù)列通項(xiàng)的求法
因?yàn)?img src="http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823140634383530.png" style="vertical-align:middle;" />所以
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;
由
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所以
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;
由
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所以

;
由
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所以
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;
依此可得
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即數(shù)列

的周期為
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,所以
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所以
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故正確答案為
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科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:解答題
(本小題滿分14分)
已知數(shù)列

中,

且

(

且

).
�。�1)證明:數(shù)列

為

等差數(shù)列;
(2)求數(shù)列

的前

項(xiàng)和

.
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科目:高中數(shù)學(xué)
來(lái)源:不詳
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(本題滿分18分)本題共有3個(gè)小題,第1小題滿分4分,第2小題滿分6分,
第3小題滿分8分.
已知數(shù)列

:

,

,

,

(

是正整數(shù)),與數(shù)列

:

,

,

,

,

(

是正整數(shù)).記

.
(1)若

,求

的值;
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
是正整數(shù)時(shí),

;
(3)已知

,且存在正整數(shù)

,使得在

,

,

,

中有4項(xiàng)為100.
求

的值,并指出哪4項(xiàng)為100.
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來(lái)源:不詳
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各項(xiàng)均不為零的數(shù)列


(1)求數(shù)列

的通項(xiàng)公式;
(2)數(shù)列

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在數(shù)列

中,

(1)求

的值;
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
是等比數(shù)列,并求

的通項(xiàng)公式;
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
。
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已知數(shù)列

的首項(xiàng)為1,前

項(xiàng)和為

,且滿足

,

.?dāng)?shù)列

滿足

.
(1) 求數(shù)列

的通項(xiàng)公式;
(2) 當(dāng)

時(shí),試比較

與

的大小,并說(shuō)明理由;
(3) 試判斷:當(dāng)

時(shí),向量


是否可能恰為直線


的方向向量?請(qǐng)說(shuō)明你的理由.
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科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:填空題
把數(shù)列

的所有項(xiàng)按照從大到小的原則寫成如右圖所示的數(shù)表,其中的第

行有

個(gè)數(shù),第

行的第

個(gè)數(shù)(從左數(shù)起)記為

則

_____________.

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來(lái)源:不詳
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若無(wú)窮等差數(shù)列

的前

項(xiàng)和為

,且

,

,則( )
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科目:高中數(shù)學(xué)
來(lái)源:不詳
題型:填空題
數(shù)列

滿足:

,記

,若

對(duì)任意的

恒成立,則正整數(shù)

的最小值為
.
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