已知等差数列{an}的公差为2,若a1,a3,a4成等比数列,则a2+a3的值为( )
A. -6
B. -8
C. -10
D. -12
人气:174 ℃ 时间:2019-08-20 07:06:05
解答
由a1,a3,a4成等比数列,得到a32=a1•a4,
又公差d=2,得到(a1+2d)2=a1•(a1+3d),即(a1+4)2=a1•(a1+6),
解得:a1=-8,
则a2=a1+d=-8+2=-6
a3=a1+2d=-4
∴a2+a3=-10.
故选C
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