问题
选择题
设Sn是等差数列{an}的前n项和,若
|
答案
根据等差数列的性质,
若数列{an}为等差数列,则S4,S8-S4,S12-S8,S16-S12也成等差数列;
又∵
=S4 S8
,1 3
则数列S4,S8-S4,S12-S8,S16-S12是以S4为首项,以S4为公差的等差数列
则S8=3S4,S16=10S4,
∴
=S8 S16 3 10
故选A
设Sn是等差数列{an}的前n项和,若
|
根据等差数列的性质,
若数列{an}为等差数列,则S4,S8-S4,S12-S8,S16-S12也成等差数列;
又∵
=S4 S8
,1 3
则数列S4,S8-S4,S12-S8,S16-S12是以S4为首项,以S4为公差的等差数列
则S8=3S4,S16=10S4,
∴
=S8 S16 3 10
故选A