问题
选择题
等差数列{an}中,记Sn=a1+a2+…+an,若S9=72,则a2+a4+a9=( )
A.14
B.12
C.24
D.16
答案
∵等差数列{an}前n项和为Sn,设公差为d,
∴S9=72=
=9(a1+a9) 2
=9a5,∴a5=8.9×2a5 2
故 a2+a4+a9=3a1+12d=3a5=24,
故选C.
等差数列{an}中,记Sn=a1+a2+…+an,若S9=72,则a2+a4+a9=( )
A.14
B.12
C.24
D.16
∵等差数列{an}前n项和为Sn,设公差为d,
∴S9=72=
=9(a1+a9) 2
=9a5,∴a5=8.9×2a5 2
故 a2+a4+a9=3a1+12d=3a5=24,
故选C.