Purpose: The purpose of this task is to practice writing recursive and explicit formulas for arithmetic and geometric sequences from a table. This task also provides practice in using tables to identify when a sequence is arithmetic, geometric, or neither. The task extends students’ experiences with sequences to include geometric sequences with alternating signs, and more work with fractions and decimal numbers in the sequences.
Standards for Mathematical Practice of Focus in the Task:
SMP7 – Look for and make use of structure.
MP8 – Look for and express regularity in repeated reasoning.