Answer
diverges
Work Step by Step
To determine whether the sequence converges, determine whether the limit as $n$ approaches infinity is equal to a constant. Combine the $\frac {5^{n}}{3^{n}}$ to $(\frac {5}{3})^{n}$ and take the limit as $n$ approaches infinity.
$\lim\limits_{n \to \infty} \frac {5^{n}}{3^{n}} = \lim\limits_{n \to \infty} (\frac {5}{3})^{n} = \infty$
Therefore, the sequence diverges.
