a3=a1*q^2
a4=a1*q^3
a6=a1*q^5
a3-a1=a1(q^2-1)=8……(1)
a6-a4=a1q^3(q^2-1)=216……(2)
(2)/(1)
q^3=27
q=3
代入(1)得,a1=1
an=3^(n-1)
Sn=1*(3^n-1)/(3-1)=40
3^n-1=80
3^n=81=3^4
n=4
a4=a1*q^3
a6=a1*q^5
a3-a1=a1(q^2-1)=8……(1)
a6-a4=a1q^3(q^2-1)=216……(2)
(2)/(1)
q^3=27
q=3
代入(1)得,a1=1
an=3^(n-1)
Sn=1*(3^n-1)/(3-1)=40
3^n-1=80
3^n=81=3^4
n=4