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等差数列{an}的公差d≠0,且a5,a9,a15成等比数列,则公比为______.
人气:182 ℃ 时间:2019-10-09 04:09:49
解答
依题意可知(a1+8d)2=(a1+4d)(a1+14d),
整理得2a1d=8d2,解得4d=a1
∴q=
a9
a5
=
a1+8d
a1+4d
=
3
2

故答案为:
3
2
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