In this activity you will investigate the stages of Sierpinski's Triangle.
Follow this link to an applet on Sierpinski's Triangle | ![]() Source: Triangles with a triangle, Allen Centre, Wikispaces |
In the applet, click on Next Stage, collect data, and complete the table in your notes.
Level, n | Blue Triangles |
Now answer this question.
According to the table, which expression best represents the number of blue triangles at any level, n, in this geometric pattern?
A. (n - 1)n - 1
B. (2n - 1)2
C. 3n - 1
D. n2
Use your notes to record your answer to explain how you know your answer is correct.
Click below to see the correct answer and why the other answer choices are incorrect.
Interactive popup. Assistance may be required. Not A, tables don't match.