>
数学
>
两个等差数列,它们前n项和之比为
5n+3
2n−1
,则两个数列的第9项之比是( )
A.
5
3
B.
8
5
C.
8
3
D.
7
4
人气:284 ℃ 时间:2020-06-12 19:16:39
解答
设两个等差数列分别为{a
n
},{b
n
},它们前n项和分别为{S
n
},{T
n
},则
由题意,
a
9
b
9
=
17
2
(
a
1
+
a
17
)
17
2
(
b
1
+
b
17
)
=
S
17
T
17
=
5×17+3
2×17−1
=
8
3
故选C.
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