问题 填空题
已知两个等差数列{an}和{bn}的前n和分别为An和Bn,且
An
Bn
=
2n+1
n+3
,则
a9
b9
=______.
答案

∵两个等差数列{an}和{bn}的前n和分别为An和Bn

An
Bn
=
2n+1
n+3

a9
b9
=
2a9
2b9
=
a1+a17
b1+b17

=

17
2
(a1+a17)
17
2
(b1+b17)
=
A17
B17

=

2×17+1
17+3
=
7
4

故答案为:

7
4

单项选择题
单项选择题