等比数列中公比是整数,a1+a4=18,a2+a3=12求前8项之和S8

a1+a4=18a1+a1q^3=18a1(1+q^3)=18a1=18/(1+q^3)[q≠-1]a2+a3=12a1q+a1q^2=12a1(q+q^2)=12a1=12/(q+q^2)[q≠-1]18/(1+q^3)=12/(q+q^2)3q+3q^2=2+2q^32(1+q^3)-3(q+q^2)=02(1+q)(1-q+q^2)-3q(1+q)=0(1+q)(2-2q+2q^2-3q...