This is a worksheet for students to practice finding the rule of a sequence and using it to continue the pattern. I created this for a 5th grade class to supplement my teaching. This can be used when focusing on the Common Core Standard 5.OA.B.3 in an Operations and Algebraic Thinking Unit.
Some of my students completed it with ease, and some were very challenged by it. There are patterns of varying difficulty and operations. You could differentiate by assigning different problems to different students.