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.

Question

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.