This activity might not be viewable on your mobile device.Interactive exercise. Assistance may be required. In this activity you will investigate the stages of Sierpinski's Triangle.

Follow this link to an applet on Sierpinski's Triangle Sierpinksi'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.

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Explanation for answer choice A

Not A, tables don't match.
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Explanation for answer choice B

Not B, tables don't match. graphing calculator image
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Explanation for answer choice C

Correct! The tables match.
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Explanation for answer choice D

Not D, tables don't match.
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