Sequence

tags:definition

Sequence

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Definition (@Tu11, pp. 336). Let $X$ be a set, a sequence in $X$ is a function from the set $\mathbb{N}$ of positive integers to $X$. A sequence is denoted as $\{x_i{\}}_{i\in \mathbb{N}}$ or $x_1,x_2,x_3,\dots$