题目内容
在等差数列{an}中,若a4+a6+a8+a10+a12=120,则a9A.17 B.16 C.15 D.14
B ∵a4+a6+a8+a10+a12=120,且a4+a12=2a8,
a6+a10=2a8,∴5a8=120.∴a8=24.
设等差数列{an}的首项为a1,公差为d,则a9
a11=a1+8d
(a1+10d)
=
a1+
d=
(a1+7d)=
a8=16.
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题目内容
在等差数列{an}中,若a4+a6+a8+a10+a12=120,则a9A.17 B.16 C.15 D.14
B ∵a4+a6+a8+a10+a12=120,且a4+a12=2a8,
a6+a10=2a8,∴5a8=120.∴a8=24.
设等差数列{an}的首项为a1,公差为d,则a9
a11=a1+8d
(a1+10d)
=
a1+
d=
(a1+7d)=
a8=16.