Showing the existence of an entire function

Question

Let $a_1, a_2, a_3 \ldots$ be a sequence of distinct complex numbers with $a_n \rightarrow \infty$. Let $b_1, b_2, b_3 \ldots$ be an arbitrary sequence of complex numbers. Show that there exists an entire function $f : \mathbb{C} \rightarrow \mathbb{C}$ such that $f(a_n) = b_n$ for all $n$.