Consider the following series.\\
$\sum_{n=1}^{\infty} 4^n + 15^{-n}$\\
Determine whether the geometric series is convergent or divergent. Justify your answer.\\
Converges; the series is a constant multiple of a geometric series.\\
Converges; the limit of the terms, $a_n$, is 0 as $n$ goes to infinity.\\
Diverges; the limit of the terms, $a_n$, is not 0 as $n$ goes to infinity.\\
Diverges; the series is a constant multiple of the harmonic series.\\
If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.)