高二数学数列题,救救我,明天要交等比数列{An}中,S3=7,S
等比数列{An}中,S3=7,S6=63,求S9 祝大家中秋
S3=7,S6=63 ====>q≠-1 S3 =A1(1-q^3)/(1-q)=7 S6=A1(1-q^6)/(1-q)=63 S6/S3 =(1-q^6)/(1-q^3) =1+q^3=9 ====>q=2 ==> S3 =A1(1-8)/(1-2) =7A1=7 ===>A1=1 所以 S9=A1(1-q^9)/(1-q) =2^9-1 =511