A laboratory technician is monitoring the growth of a bacterial culture for a pharmaceutical study. The number of bacteria is recorded at regular intervals as ${}100, 200, 400, 800, \dots$ cells. To confirm that this growth follows a geometric sequence, which property must the technician verify?

A loan officer is reviewing the balance growth on a high-yield savings account: ${}1000, 1050, 1102.50, 1157.63, \dots$. True or False: This growth follows a geometric sequence because the difference between any two consecutive balances is always the same.

An office manager is reviewing several resource trends. Match each numerical sequence with the correct description of its growth pattern to determine if it is a geometric sequence.

Defining Geometric Progression in Production

An operations manager is tracking the depreciating value of a piece of industrial equipment over several years: ${}81, 27, 9, 3, \dots$ (in hundreds of dollars). To verify if this reduction represents a geometric sequence, arrange the following procedural steps in the correct order.