问题
选择题
若数列{an}是等差数列,a3=7,S6=51,则a9等于( )
A.24
B.25
C.26
D.27
答案
设等差数列的公差为d,由a3=7,S6=51,得到
,a1+2d=7① 6a1+
d=51②6×5 2
由①得:a1=7-2d③,把③代入②得:42-12d+15d=51,即3d=9,解得d=3,把d=3代入③解得a1=1,
则a9=a1+8d=1+24=25.
故选B
若数列{an}是等差数列,a3=7,S6=51,则a9等于( )
A.24
B.25
C.26
D.27
设等差数列的公差为d,由a3=7,S6=51,得到
,a1+2d=7① 6a1+
d=51②6×5 2
由①得:a1=7-2d③,把③代入②得:42-12d+15d=51,即3d=9,解得d=3,把d=3代入③解得a1=1,
则a9=a1+8d=1+24=25.
故选B