Example: Determining if a Sequence Is Geometric

General Term of a Geometric Sequence

A retail analyst is studying the monthly sales growth of a new store and determines that the sales figures follow a geometric sequence. To identify the common ratio ($r$) of this growth pattern, which of the following definitions must the analyst use?

As an inventory manager, you are analyzing warehouse storage levels that follow a pattern identified as a geometric sequence. To find the constant multiplier between consecutive months, you divide a given month's storage level ($a_n$) by the preceding month's storage level ($a_{n-1}$). This constant value is known as the ____.

A small business owner is analyzing monthly sales data to see if the growth follows a geometric pattern. Arrange the following steps in the correct order to identify and verify the common ratio ($r$) for the sales figures.

Defining the Constant of Geometric Growth

A business analyst is evaluating a company's quarterly revenue growth to determine if the pattern follows a geometric progression. Match each term related to the common ratio ($r$) with its correct definition or rule.

A production manager is analyzing a weekly manufacturing report where the output levels form a geometric sequence. To find the common ratio ($r$) of this sequence, the manager must select a given week's production count and divide it by the production count of the week immediately following it.