Seo-Yun hosted a party. She had 505050 party favors to give away, and she gave 333 party favors to each of her guests as they arrived at the party. Let g(n)g(n)g, left parenthesis, n, right parenthesis be the number of party favors Seo-Yun had before the n^\text{th}n th n, start superscript, t, h, end superscript guest arrived. Ggg is a sequence. What kind of sequence is it?