This lesson can be purchased as a complete bundled unit at a discounted price under the listing Arithmetic and Geometric Sequences Complete Bundled Unit.
This worksheet gives the first term and the last term of a sequence. The middle terms are missing. Also given is whether the sequence is arithmetic or geometric. The students have to figure out the rate of change and fill in the missing middle terms of the sequence. They also have to write the explicit and recursive expressions for each sequence.
I use this as a timed activity in my classroom. I divide the students into pairs and I set the timer for 15 mins. I have a reward for the top 3 fastest and most accurate groups (a piece of candy or extra credit). Then, I assign the rest of the worksheet as homework.