What is the main characteristic of a sequence?

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The main characteristic of a sequence is that it consists of values arranged in a specific order. This order is crucial to the definition of a sequence; each term has a unique position or index within the sequence, which distinguishes it from merely a collection of numbers or values. In mathematical terms, sequences are often defined by their function or rule that generates each term based on its position. This ordered nature allows for the identification of patterns and the exploration of relationships between the consecutive terms.

In contrast, a series of unrelated values does not convey the necessary structure that defines a sequence. Similarly, while sequences can arise from functions and some sequences are represented by formulas, these aspects do not capture the essence of what a sequence fundamentally is—the specific arrangement of values.

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