Regents Exam: Algebra I August 2016 (Problem 27 of 37)

The video tutorial discusses a pattern of squares and explores whether a linear or exponential model best predicts the number of squares in subsequent iterations. The pattern starts with 2 squares, then 4, and finally 8 in the third iteration. By analyzing the differences between iterations, it is determined that a linear model is unsuitable as the increase is not constant. Instead, the pattern follows an exponential model, specifically 2 raised to the power of N, where N is a positive integer. This model accurately predicts the number of squares in each iteration, confirming the exponential nature of the pattern.

How does the pattern of squares change from one iteration to the next?

What is the significance of the differences between successive iterations in determining the model type?