3a1,1/2a3,2a2成等差数列a3=a1q^2=3a1+2a1q、q^2-2q-3=0、q=-1(舍去)、q=3.(a2010+a2014)/(a2013+a2011)=(a2010*q+q^4*a2010)/(a2010*q^3+a2010*q)=(q+q^4)/(q+q^3)=q(1+q^3)/q(1+q^2)=1+q^3/1+q^2=(1+8)/(1+4)=9/5...