Problem 1: a) Consider the following linear homogeneous recurrence relation: Rn=4Rn13Rn2. It is known that: R0=1,R2=5. Find R3. b) Determine the general solution of the recurrence equation if its characteristic equation has the following roots: 1,2,2,2,7,7. c) Determine the general solution of the recurrence equation An=256An4. d) Find the general form of the particular solution of the recurrence Bn=3Bn22Bn3+2