Creating Equations for Decreasing Geometric Sequences

The video tutorial explains how to create equations for decreasing geometric sequences using tables and graphs. It covers exponential functions, geometric sequences, and common student mistakes. A paper tearing activity demonstrates the concept of geometric sequences, showing how the area decreases exponentially. The lesson concludes with a summary of key points, emphasizing the relationship between step numbers and exponential expressions.

What is the common ratio in a geometric sequence if each term is obtained by multiplying the previous term by 1/3?

• 2

• 3

• 1/3

• 1/2

Which of the following is a common mistake when dealing with geometric sequences?

• Confusing the initial value with the common ratio

• Using the wrong formula for exponential growth

• Ignoring the initial value

• Forgetting to multiply by the common ratio

What happens to the area of the paper after each tear in the paper tearing activity?

• It remains the same

• It doubles

• It increases by a fixed amount

• It is halved

In the paper tearing activity, what is the initial area of the paper?

• 8

• 32

• 16

• 64

After the 10th tear, what is the area of the paper?

• 1/16

• 1/8

• 1/32

• 1/64