设{}是公比为q的等比数列,|q|>1,令(n=1,2,…),若数列{}有连续 四

设{}是公比为q的等比数列,|q|>1,令(n=1,2,…),若数列{}有连续

四项在集合{-53,-23,19,37,82}中,则6q=

 (A)-9      (B)  -3     (C) 9              (D) 3

答案

A

解析:由题意:等比数列{}有连续四项在集合{-54,-24,18,36,81}中,由等比数列的定义知,四项是两个正数,两个负数且|q|>1,故-24, 36, -54,81符合题意,则q=,6q=-9.

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