问题
选择题
已知等比数列{an}满足a1=3,且4a1,2a2,a3成等差数列,则a3+a4+a5=( )
A.33
B.84
C.72
D.189
答案
由4a1,2a2,a3成等差数列,得到4a2=4a1+a3,
又a1=3,设公比为q,可化为:12q=12+3q2,即(q-2)2=0,
解得:q=2,所以an=3×2n-1,
则a3+a4+a5=12+24+48=84.
故选B
已知等比数列{an}满足a1=3,且4a1,2a2,a3成等差数列,则a3+a4+a5=( )
A.33
B.84
C.72
D.189
由4a1,2a2,a3成等差数列,得到4a2=4a1+a3,
又a1=3,设公比为q,可化为:12q=12+3q2,即(q-2)2=0,
解得:q=2,所以an=3×2n-1,
则a3+a4+a5=12+24+48=84.
故选B