设有100个数a1,a2,a3,…,a100,满足相邻三个数中的中间数等于它两边两数的乘积,如果第4个数是3,第75个数是6,则a2等于:A.2 B...

作者: tihaiku 人气: - 评论: 0
问题 设有100个数a1,a2,a3,…,a100,满足相邻三个数中的中间数等于它两边两数的乘积,如果第4个数是3,第75个数是6,则a2等于:
选项 A.2 B.3 C.4 D.5
答案 C
解析 设数列前三项分别为a,ab,b,根据数列的规律,可知接下来几项依次是1/a,1/ab,1/b,a,ab,b,可见该数列为循环数列,周期为6。75÷6=12……3,即第3个数与第75个数相同,为6。第4个数是3,则第2个数=6÷3=2,选择A。

相关内容:100个数,个数,两数,乘积

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