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Mathematics, 25.03.2020 21:19 charlettethomap7e9st

The area of the shaded triangles in the fractal shown form a geometric sequence. The area of the largest triangle (not shaded) is 1 square unit. Find the areas of these shaded triangles.

Orange: 1/4 square units

Blue: square units

Green: square units

If the pattern continues indefinitely, does the sum of the areas converge?

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