问题
选择题
已知等比数列{an}(n∈N*)中有a5a11=4a8,数列{bn}是等差数列,且a8=b8,则b7+b9=( )
A.2
B.4
C.8
D.16
答案
等比数列{an}(n∈N*)中,
∵a5a11=a82=4a8,
∴a8=4,
∵a8=b8,∴b8=4,
∴b7+b9=2b8=8.
故选C.
已知等比数列{an}(n∈N*)中有a5a11=4a8,数列{bn}是等差数列,且a8=b8,则b7+b9=( )
A.2
B.4
C.8
D.16
等比数列{an}(n∈N*)中,
∵a5a11=a82=4a8,
∴a8=4,
∵a8=b8,∴b8=4,
∴b7+b9=2b8=8.
故选C.