Question: 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

a) Prove the following statement by using induction method. 5x1 is

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

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