用等差中项算,得出是恒等数列,所以说s6:s9=2:3
若数列为等差数列,则S n,S2n -Sn ,S3n -S 2n,…仍然成等差数列,公差为k^2d 所以是2/3
S3/S6=[3(a1+a3)]/[6(a1+a6)]=1/2 a1+a3=a1+a6a3=a6 d=0S6/S9=6a1/9a1=2/3