The given pattern is an illustration of a linear equation.
Dan's equation is: [tex]n = 3s - 2[/tex]
Given that:
[tex]n \to[/tex] number of tiles
step number
See the attached image for the pattern, that is being analyzed.
Dan's explanation is as follows:
For each step, the number of tower is the same as the step number.
This means that:
[tex]n\to s[/tex]
Also:
2 arms contain one less block
This means: blocks for both arms.
So, Dan's equation is:
[tex]n = s + 2 \times (s - 1)[/tex]
Open brackets
[tex]n = s + 2s - 2[/tex]
Evaluate like terms
[tex]n = 3s - 2[/tex]
Hence,
Dan's equation of the pattern is: [tex]n = 3s - 2[/tex]
Read more about patterns at:
https://brainly.com/question/24493898
