问题 填空题
设数列{an}为等比数列,公比q=2,则
a2+3a4+5a7
a4+3a6+5a9
的值为______.
答案

∵q=2,

a2+3a4+5a7
a4+3a6+5a9
=
a1q+3a1q3+5a1q6
a1q3+3a1q5+5a1q8

=

a1q+3a1q3+5a1q6
q2(a1q+3a1q3+5a1q6)
=
1
q2
=
1
4

故答案为:

1
4

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