Geometric sequences are ordered sets of numbers or terms which behave much like exponential functions, with a domain restricted to the positive integers. The distinguishing characteristics of exponential functions are growth and decay: exponential functions describe phenomena that grow exponentially (such as a function that keeps doubling) or decay (such as function that keeps being reduced by one-third). Successive terms in geometric sequences also exhibit either exponential growth or decay patterns, depending upon the specific ratio for the sequence.

	In preparation, let’s practice creating a table of values for a few exponential functions, using a domain restricted to positive integers. Click here to access the review.
	In the last topic, you learned about arithmetic sequences and arithmetic series, which are defined by having a common difference between consecutive terms. Before studying geometric sequences and series, which are very similar in that they have a constant pattern, a common ratio, let’s review the properties and characteristics of those with a common difference. Click here to start the self check.