Simplification of a series I have a series in the following form:
\begin{equation}
\sum_{k=1}^{n} A\exp(\mu t(k-1)+\sigma \sqrt{t(k-1)})
\end{equation}
I would like to know if I can convert this equation with something such as a geometric series, given that I see some similarities to that:$\sum _{k=1}^{n}ar^{k-1}={\frac {a(1-r^{n})}{1-r}}$, I might be completly wrong of course.

*

*$\exp(\mu kt) \ne \exp(\mu t) \exp(k-1)$

*Your $C$ depends on $k$. So your series has nothing to do with a geometric series.
