Modeling Exponential Growth Using Patterns

The video tutorial explains how to model geometric change using sequences. It begins with an introduction to geometric sequences and the concept of a common ratio. An example is provided to illustrate how each term in a sequence is derived by multiplying the previous term by a common ratio. The tutorial then presents a problem involving photocopy enlargement, demonstrating how to calculate the size of an image after multiple enlargements using a geometric sequence. Another problem involving a dot pattern is analyzed to determine if a specific number of dots can be achieved. The lesson concludes by summarizing the key concepts of modeling exponential growth through patterns.

Explain how to write an equation that models exponential growth based on a given pattern.

Why is it impossible to have a step with exactly 332 dots in the given pattern?