Here is a scavenger hunt activity for arithmetic and geometric sequences where the students answer the question on one card which leads them to the next card until they end up in the same place they began.
7 questions on writing the arithmetic/geometric explicit formula given a graph, list, or table.
4 questions on finding the nth term given a list or the first term and common difference/ratio.
4 word problems (3 word problems give the zero term, but it is noted as a "hint" on the card.
Included are both a pdf file and an editable word document. (I checked for mistakes, but I don't always catch them. Plus, I want you to be able to adapt for your classroom.) A student record sheet and teacher answer key is provided too.
I hope your students enjoy!