Mathematics Education
EMAT 6600, J. Wilson
Problem: Count the Triangles -- II
Problem: Count the triangles. Extend the sequence.

Hints/Solution:

Did you get 1, 5, 13, 27 so far?

How many triangles when there are five levels? 10 levels?


How to you verify your sequence?

Is there a general formula for n levels?

Proof?



Comments:

Recognition of the sequence of triangular numbers is useful.

Hint: Count the number of triangles of each size in two parts: those pointing up and those pointing down.




Extensions/Variations:


Reference:

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