Problem of The Day - What comes next?

If each side of the triangle in the first figure is 1 inch long, this means the triangle has a perimeter of 3 inches. Suppose you continued the pattern in the diagram until you reached Figure 5. (Note: I copied figure 3 two more times to help you with the drawing)

What is the sum of the perimeters of all the white triangles in Figure 5? This is a pattern problem, so figure the sum of the perimeters in figure 1, 2, and 3 first. Also, I’d suggest that you write the sums as fractions, not decimals, so you can see the pattern.

Figure 1 Figure 2 Figure 3

Figure 4 – needs completed Figure 5 – needs completed