Answer
The $\lim\limits_{n \to \infty}$ is 1, so the sequence converges to 1.
Work Step by Step
$a_{n}= 1-(0.2)^{n}= 1-(\frac{1}{5})^n$
$\lim\limits_{n \to \infty} (a_{n}) =\lim\limits_{n \to \infty} (1-(0.2)^{n})=1$
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