  In this short note we study what happens in a symmetric opinion model when we
send the total interacting population $N(t)$ to infinity as $t \to \infty$. We
assume that new population enters the system with opinions that are i.i.d
random vectors with finite mean and variance. We give sharp conditions on the
rate of population growth that is required for convergence to a global
consensus in opinions. More particularly, we show that if the total population
increases at a rate $N(t)\sim e^{t^\alpha}$, then $\alpha<1$ is necessary and
sufficient condition for convergence to the mean of incoming opinions, and the
convergence is achieved at an algebraic rate.
