Solution
= Solution
\b[Yes.] Choose the principal ultrafilter at any $j\geq2$. Evaluation at the $j$th coordinate gives
$$
\prod_{i\in\mathbb N}\mathcal C_i/\mathcal U\cong\mathcal C_j,
$$
which is a finite <cyclic group> of order $j$.
= Solution
\b[Yes.] Choose the principal ultrafilter at any $j\geq2$. Evaluation at the $j$th coordinate gives
$$
\prod_{i\in\mathbb N}\mathcal C_i/\mathcal U\cong\mathcal C_j,
$$
which is a finite <cyclic group> of order $j$.