Let $N \in \text{Geometric}(\theta)$ be a D4001: Geometric random positive integer.
Let $n \in 1, 2, 3, \ldots$ be a D5094: Positive integer.
Let $n \in 1, 2, 3, \ldots$ be a D5094: Positive integer.
Then
\begin{equation}
\mathbb{P}(N = n)
= \theta (1 - \theta)^{n - 1}
\end{equation}