  We derive closed-form expressions for several new classes of Hurwitzian- and
Tasoevian continued fractions, including
$[0;\overline{p-1,1,u(a+2nb)-1,p-1,1,v(a+(2n+1)b)-1 }\,\,]_{n=0}^\infty$, $[0;
\overline{c + d m^{n}}]_{n=1}^{\infty}$ and $[0; \overline{e u^{n}, f v^{
n}}]_{n=1}^\infty$. One of the constructions used to produce some of these
continued fractions can be iterated to produce both Hurwitzian- and Tasoevian
continued fractions of arbitrary long quasi-period, with arbitrarily many free
parameters and whose limits can be determined as ratios of certain infinite
series. We also derive expressions for arbitrarily long \emph{finite} continued
fractions whose partial quotients lie in arithmetic progressions.
