81
显然a1+a2+a3,a4+a5+a6,a7+a8+a9成等比数列公比为q的3次方。即s3,s6-s3,s9-s6成等比数列
又s6-s3=27,所以s9-s6=81,即a7+a8+a9=81
117,在等比数列中:S3,S6-S3,S9-S6成等比数列.故9,36-9,x-36,成等比数列.
S3:a1+a2+a3
(S6-S3):a4+a5+a6 = (S3)*q^3
(S9 - S6):a7+a8+a9 =(S6-S3)*q^3
36 - 9 = 9*q^3
q^3 = 3
a7+a8+a9 = (36-9)*3= 81