Notation for sequences I am trying to write a small article, and I just want to know how would be a good way to present the maths I have written so that it looks professional.
I am trying to define a sequence $x_n$ of real numbers. So what I wrote in my article is:
Let $x_n$, $n \in \mathbb{N}$ be a sequence of real numbers.
However, it does not look very professional. How would I write the above sentence into something that looks professional? Note: I need to include $n \in \mathbb{N}$ in my sentence, so I think thats where my trouble is as $x_n$, $n \in \mathbb{N}$ seems a bit messy.
Thanks.

I write my sequences as $\langle x_n \mid n \in \mathbb{N} \rangle$. Looks pretty cool I think. So you could say let $\langle x_n \mid n \in \mathbb{N} \rangle$ be a sequence in $\mathbb{R}$.
