Couunt the Triangles -- I


 

Count the triangles. Extend the sequence.



Hints/Solution:

What is the pattern?

Can you write the formula for total number of triangles when there are n lines from each base vertex?

Can you prove the general formula? What is there to prove?



Comment:

Is this a candidate for  using mathematical induction?



Reference: Can You Solve These , Series #1, by David Wells


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