#### Answer

$\{0.2^n\}$ converges to $0$. The sequence is monotonic.

#### Work Step by Step

The general form of a geometric sequence is $a^r$.
Since $a < 1$:
$$\lim\limits_{n \to \infty} 0.2^n = 0$$
In addition, because $a<1$, the sequence is non increasing and thus is monotonic.