[table][tr][td]Given is an equilateral triangle with Area=1. The vertices of the blue triangle are the midpoints of the sides. [br][list][*]Drag the slider [b]n [/b]to construct equilateral triangles inscribed in the white triangle directly above each blue triangle.[br][/*][*]Click the "+" button to ZoomIn at the vertex of the triangle.[br][/*][*]Click the "-" to return to the original triangle.[br][/*][/list][br]What will be the sum of the area of the blue triangles if we continue to inscribe them to infinity?[/td][/tr][/table]