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若{an}是等差数列,公差d≠0,a2,a3,a6成等比数列,则公比为 ______.
人气:218 ℃ 时间:2019-08-20 13:38:17
解答
∵a2,a3,a6成等比数列,
∴a32=a2a6,即(a1+2d)2=(a1+d)(a1+5),整理得d2+2a1d=0
∴d=-2a1
a3
a2
=
a1+2d
a1+d
=
−3d
−d
=3
故答案为3.
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