The sequence (n) is defined by the recursion relation 6 In Prove that a) b) c) *1 = 2, = 1+ In+1 = In+2= 7- #n+2¤n ⇒ n+3 ≤ n+1 In € [2, 4] 3 A n = 1, 2, 3, ... 36 n+6 (2 mark (2 marks In an⇒ In+3 ≥ n+1 (2 marks) d) the sequences 1, 3, 5,... and #2, 4, 6,... converge and find their limits. Conclude that (n) converges.