a) Prove the following statement by using induction method. 5x1 is divisible by 4 , for every integer x0. (7 Marks) b) Let h0,h1,h2, be defined by the formula hn=3n+1 for each integer n0. Show that this sequence satisfies the recurrence relation hk=hk1+3 for every integer k1 (5 Marks) c) Find the first five terms for the following recursive defined sequence. hk=k(hk1)2 for every integer k1,h0=1