>
数学
>
设等差数列{a
n
}前n项和为S
n
,若S
9
=72,则a
2
+a
4
+a
9
=( )
A. 12
B. 18
C. 24
D. 36
人气:421 ℃ 时间:2020-04-04 10:13:46
解答
∵等差数列{a
n
}前n项和为S
n
,S
9
=72=
9(
a
1
+
a
9
)
2
=9a
5
,∴a
5
=8.
故 a
2
+a
4
+a
9
=3a
1
+12d=3a
5
=24,
故选C.
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