Given a verbal description of a real-world relationship, determine the sequence that models that relationship.
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Problem

Seo-Yun hosted a party. She had 50 party favors to give away, and she gave 3 party favors to each of her guests as they arrived at the party.
Let n be a positive integer, and let g, left parenthesis, n, right parenthesis denote the number of party favors Seo-Yun had before the n, start superscript, t, h, end superscript guest arrived.
The expression g, left parenthesis, n, right parenthesis defines a sequence. What kind of sequence is g, left parenthesis, n, right parenthesis?
Please choose from one of the following options.
Write an explicit formula for the sequence.
space, g, left parenthesis, n, right parenthesis, equals