题目内容
设等比数列
的公比为
,前n项和为
,若
,
,
成等差数列,则公比
为( ).
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A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
B
试题分析:首先由
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若q≠1,则为
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故2qn=qn+1+qn+2,即q2+q-2=0,因此q=-2.故选B.
点评:本题主要考查等差数列的定义和性质,等比数列的前n项和公式,涉及等比数列求和时,若公比为字母,则需要分类讨论
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A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |