问题
选择题
设等差数列an的公差为2,且a1+a4+a7=-50,则a3+a6+a9的值为( )
A.-12
B.-28
C.-18
D.-38
答案
因为等差数列的公差d=2,且a1+a4+a7=-50,
则a3+a6+a9=(a1+2d)+(a4+2d)+(a7+2d)=6d+(a1+a4+a7)=12-50=-38.
故选D
设等差数列an的公差为2,且a1+a4+a7=-50,则a3+a6+a9的值为( )
A.-12
B.-28
C.-18
D.-38
因为等差数列的公差d=2,且a1+a4+a7=-50,
则a3+a6+a9=(a1+2d)+(a4+2d)+(a7+2d)=6d+(a1+a4+a7)=12-50=-38.
故选D