(adsbygoogle = window.adsbygoogle || []).push({}); Syntax for a sequence "in" a set X

It is well-known shorthand to say that a sequence of real numbers x_n is a sequence "in R". (Of course we do not mean that the function x_n is an element of R). In such a case, is it permissible to replace the word "in" by the element symbol, or is this not accepted usage?

E.g. "Given a sequence {x_n} \in \mathbb{R}..." Is this OK?

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# Syntax for a sequence in a set X

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