Answer
converges to $0$
Work Step by Step
To determine whether a sequence converges, determine if the limit as $n$ approaches infinity is a constant. To make the limit easier, change the $-3^{-n}$ into $-\frac {1}{3^{n}}$ using exponent rules and then take the limit.
$\lim\limits_{n \to \infty} -3^{n}=\lim\limits_{n \to \infty} -\frac {1}{3^{n}}=0$
Therefore, the sequence converges to 0.