Answer
First five terms: $0,2,0,2,0$. This sequence does not converge.
Work Step by Step
$(-1)^n$ is $-1$ when $n$ is odd and it is $1$ when $n$ is even, thus giving us $1-1=0$ for every odd term and $1+1=2$ for every even term.
The sequence diverges because the terms of the sequence are oscillating between $0$ and $2$ and the limit,
$$\lim_{n\to\infty}{1+(-1)^n}$$ does not exist. Thus, the sequence does not converge.
