Fixed Point Iteration. The following four methods are proposed to compute 71/5. Starting with p0 = 1, rank the four methods in order based on their apparent speed of convergence. In each case, explain the behavior you see by relating the appropriate g(v) to the fixed point theorems.
(a) p_n+1 = (1 + 13/4) * p_n-1 * p_n-1 * B * S_1 * z * p_n-1 * P_a-1 * P_n-1 * p_n-1 * 5 * p_4 * n-1 * P_a-1 * p_n-1 * 12
(b) p_n = p_n * p_n * p_n