Recurrence (Part 1) 6.0 points possible (graded, results hidden) A recurrence relation is given as follows: an + 6an-1 + 9an-2 = 0 with boundary conditions as ao = 5 and = 2. Solve the recurrence relation and answer the following questions. 1. What is the order of the above recurrence relation? 2. Which one of the following is the characteristic equation of the given recurrence relations? r2 + 6r + 9 = 0 p2 - 6r + 4 = 0 p2 - 9r + 6 = 0 52 + 9r + 9 = 0 p2 - 6r - 9 = 0 3. How many different characteristic root(s) (r 1, 2, ...) is/are obstained by solving the characteristic equation? 4. Select the characteristic root(s) obtained from the characteristic equation. 3 2 -2 -3 5. Which of the following is the solution of the recurrence relation given above? an = 5* (-3)" +n * (2/17) * (-3) " an = 3 * (-5)" +n * (3/17) * (-2)" - an 5*(-2)" - n* (17/2) * (-3) " = an 5* (-3)" - n * (17/3) * (-3)" 5*(-3) +n + (3/17) * (-3) " 6. What is the value of a6? (hint: answer is a positive integer number) Submit You have used 0 of 2 attempts