Math & Science ⇒ Recursive formula with \ddots and last term

[ANTMW1361]

Hi everybody
I am relatively new. I am trying to write a Recursive formula in latex. I know this popular example of recursive equation:

Code: Select all

\cfrac{1}{\sqrt{2}+
\cfrac{1}{\sqrt{2}+
\cfrac{1}{\sqrt{2}+\dotsb
}}}

What I wanna do is to add \ddots and write the last fraction, so, I need to vertically align equation. I don't know how to do this. I searched a lot and looked everywhere but found nothing. I believe there should be a way for this in Latex. Please help me.
Any idea or help is appreciated in advance.

[cgnieder]

Hi ANTMW1361,

Welcome to our community!

Could you try to show us what you want the output to look like?

Regards

[ANTMW1361]

Hi Clemens

Thanks for your kind reply.
I want to write this formula in LaTeX:


Regards,

[cgnieder]

Here is an idea:

Code: Select all

\documentclass{article}
\usepackage{mathtools}

\begin{document}

\[
Z_n = \frac{n}{j_p} +
      \cfrac{1}{\frac{2n-1}{j_p} +
        \cfrac{1}{
        \begin{array}{ccc}
          \frac{2n-3}{j_p} & & \\
          & \ddots & \\
          & & \cfrac{1}{\frac{3}{j_p} +
            \cfrac{1}{\frac{1}{j_p} + 1}}
        \end{array}
      }}
\]

\end{document}

Regards

[ANTMW1361]

Hi Clemens
You completely solved my problem. I appreciate your help.
Kind Regards,