Question 16
(GBR) A sequence of real numbers $u_1,u_2,u_3,\ldots$ is determined by $u_1$ and the following recurrence relation for $n\ge1$:
$$4u_{n+1}=\sqrt[3]{64u_n+15}.$$
Describe, with proof, the behavior of $u_n$ as $n\to\infty$.
$$4u_{n+1}=\sqrt[3]{64u_n+15}.$$
Describe, with proof, the behavior of $u_n$ as $n\to\infty$.