2. (10pt) (Sequences) Answer the following questions with brief explanations: (a) Consider the sequences induced by the construction of Sierpinski triangle. Specifically, we start out with a black equilateral triangle, subdivide it into four congruent equilateral triangles and remove the one in the center. We will then recursively repeat the step for all three remaining smaller black triangles, and so on. -27,w-13 This process generates two sequences {bn} and {wn), n = 1, 2, 3, , corresponding to the number of black and white triangles respectively. What is the analytical form of bn and wn i.e, as a function of n