The first figure in the sequence shown is an equilateral triangle. The next figure was formed from the first by connecting the major points of each side of the first triangle to form four new triangles-- one triangle in the center that point downward , and three triangles that point upward. This process was repeated to form the second and third figures. If the area of the first figure is 192 square units , complete the table to show the areas of the center triangle in each of the next three figures.

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The first figure in the sequence shown is an equilateral triangle. The next figure was formed from the first by connecting the major points of each side of the first triangle to form four new triangles-- one triangle in the center that point downward , and three triangles that point upward. This process was repeated to form the second and third figures. If the area of the first figure is 192 square units , complete the table to show the areas of the center triangle in each of the next three figures.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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