  This article is studying the roots of the reliability polynomials of linear
consecutive-\textit{k}-out-of-\textit{n}:\textit{F} systems. We are able to
prove that these roots are unbounded in the complex plane, for any fixed
$k\ge2$. In the particular case $k=2$, we show that the reliability polynomials
have only real roots and highlight the closure of these roots by establishing
their explicit formulas. We also point out that in this case, for any fixed
\textit{n} the nonzero roots of the reliability polynomial are distinct
numbers.

Discrete Mathematics;Complex Variables