Question 7 Suppose you are given the following recurrence relation. Not yet answered Fn = -Fn-1 + 12Fn-2 with initial values ao = 0 and a1 = 7 Points out of 5.00 1. What is the characteristic equation? P Flag question 2. Factor the characteristic equation that you found in part 1? Show any work needed for each part. 1 AY B T Ff EQuestion 9 Suppose you are given the following recurrence relation. Not yet answered Fn = -Fn-1 + 12Fn-2 with initial values ao = 0 and a1 = 7 Points out of Using the previous questions, select the true statement 3.00 P Flag question O a. Fn = a(4)" + b(-3)" O b. Fn = a(-1)" + b(12)" O c. Fn = a(3)" + 6(5)" Previous pageQuestion 8 Suppose you are given the following recurrence relation. Not yet answered Fn = -Fn-1 + 12Fn-2 with initial values ap = 0 and a1 = 7 Points out of Once you have the characteristic equation from the last problem factored, select the case from the textbook that this relation fits into regarding the number of 2.00 roots. P Flag question O a. Case 1 O b. Case 2 O c. Case 3Question 10 Suppose you are given the following recurrence relation. Not yet answered Fn = -Fn-1 + 12Fn-2 with initial values ao = 0 and a1 = 7 Points out of Using the previous questions and the given initial values, find the value for a 3.00 P Flag question Answer:Question 12 A sequence a1, a2, a3. is defined as follows: Not yet answered a =1 and ak = 4ak- + 2 for all integers k > 2. Points out of Find a3. 3.00 P Flag question Select one: O a. 6 O b. 26 O c. 58 O d. 104 Previous pageIQuestion 11 Not yet answered Points out of 2.00 t\" Flag question Previous page Suppose you are given the following recurrence relation. Fn = -Fn_1 +12Fn_2 with initial values an = [i and a1: 7" Using the previous questions and the given initial values, find the value for b