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Online resources describe a function as a correlation between domain and range values, while a sequence is just a bunch of numbers correlated with the term.

Isn't this the same thing if you consider the term to be the domain and the sequence value at that term to be the range? What's the difference between a sequence and function?

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    @Farhad Because sequences are functions of particular interest.2012-05-28

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Yes, that would be the same thing. Though it's a pita talking about "a function from $\mathbb{N}$, zero inclusive/exclusive, to $\mathbb{R}$. "Sequence" is a bit shorter.