Abstract
This chapter defines the concept of arithmetic sequences or sequences. Here, we will review different types of sequences, their properties, limits, and convergence, as well as the important Cauchy sequences, we will also see an extension of them whose elements are functions, the Sequences of functions.
Keywords: Arithmetic sequences, Bounded and unbounded sequences, Cauchy sequences, Convergent and divergent sequences, Graph of sequence (, Infinite and finite sequences, Properties of limit of sequences, Subsequences, The boundedness of convergent sequences theorem.
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