题目内容
研究表明一种培育后能繁殖的细胞在一定的环境下有以下规律:若有
个细胞,经过第一周期后,在第1 个周期内要死
去1个,会新繁殖(
)个;经过第二周期后,在第2 个周期内要死去2个,又会新繁殖(
)个;以此类推.例如, 细胞经过第
个周期后时
,在第
个周期内要死去
个,又会新繁殖 (
)个.
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(Ⅰ)设在第
周期后时,该细胞的总个数为
,则
与
的关系式为_____.
(Ⅱ) 当
=21时,细胞在第_____周期后时细胞的总个数最多,最多是 个.
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(Ⅰ)设在第
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(Ⅱ) 当
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(Ⅰ)
,(Ⅱ) 10,121
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当n=21时,
,即
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=
,所以当x=10时,
最大为121)
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