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已知等比数列{an}中有a3a11=4a7,数列{bn}是等差数列,且a7=b7,则b5+b9=()A.2B.4C.8D.16

题目详情
已知等比数列{an}中有a3a11=4a7,数列{bn}是等差数列,且a7=b7,则b5+b9=(  )
A. 2
B. 4
C. 8
D. 16
▼优质解答
答案和解析
等比数列{an}中,由a3a11=4a7,可知a72=4a7,∴a7=4,
∵数列{bn}是等差数列,∴b5+b9=2b7 =2a7 =8,
故选C.