I use this activity to get students used to the notation of arithmetic sequences and geometric sequences. In it, students express sequences using multiple representations, when they start out written different ways.
For each type of sequence there is a table with 8 rows and 4 columns. Each row is a sequence represented a certain way (list, verbal, explicit, recursive). One cell from each row is already filled in, 2 from each initial representation.
I like to use this activity as a check for understanding or as guided notes when I am first teaching the concepts and notation of sequences and their basic vocabulary such as "common difference" and "common ratio."
The Common Core standard is HSF.BF.A.2:
"Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms."