a Prove by induction that 3^2n - 5 is divisible by 4 Vn €N. Form a direct proof that 9" is one more than a multiple of 8, that is, 9 = 8k + 1, n, k€N
i Hence prove directly that 3^2n-5, n€ N is always divisible by 4.
ii Compare the amount of working needed here with that of part a