IM 1.2: Introducing Geometric Sequences

he purpose of this lesson is for students to understand what makes a sequence a geometric sequence and to begin to connect that idea with their learning about exponential functions in an earlier course. The lesson also gives students opportunity to use precise language to describe the relationship between consecutive terms in a sequence (MP6). In particular, how the terms of a geometric sequence grow by the same factor from one term to the next. For example, this is a geometric sequence: 0.5, 2, 8, 32, 128, . . . Each term is 4 times the previous term. Two ways to think about how you know the sequence is geometric are:

By Algebra two