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How many triangles will there be after n number of sequences?

Asked by sunssi (120points) June 13th, 2011

You start with one triangle and in the first sequence you place 3 triangles on each side of the first triangle as so http://imageshack.us/photo/my-images/709/tri2.png/ < n=1

You then add triangles to the sides of the next lot http://imageshack.us/photo/my-images/812/tri3.png/ <n=2

How many triangles will there be after n number of goes?

Remember triangles will start taking place of other triangles so you can’t just go 3^n

please explain you’re answer I’m looking more for the explanation than the answer

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