The first figure above is an equilateral triangle of sides 2 centimetres. The second figure is obtained by drawing lines passing thròugh' the vertices and parallei to the sides of the triangle in the first figure. The third figure is got by drawing lines' passing through the veritces and parallel to the sides of the triangle in the second figure.
a) Write the sequence of perimeters of biggest triangle in each figure obtained by continuing this process.
b)Write the sequence of areas of biggest triangle in each figure:
c)Write algebraic forms of both of the above sequences.