1. The sides of a square 1 cm, have lines drawn between them connecting adjoining sides with their midpoints. This creates another square within the original and this process is continued indefinitely. (Given, Pythagoras theorem: Hypotenuse 2 = Perpendicular 2 + Base 2) a. Show the sequence of the sides for first 4 terms. [1] b. Show the sequence for the areas of the squares for first 4 terms. [1] c. Calculate the sum of the areas of the infinite squares.