I. On 1 April 2018, €1,250 was invested in EUROBANK at a fixed rate of 4.5% per annum. This interest is compounded annually. No more lodgements are made. No withdrawals are to be made. Find: (a) a(1), the amount in the account after 1 year- i.e., on 1 April 2019; [2 marks [2 marks] [5 marks] [5 marks] [2 marks (b) a(2), the amount in the account after 2 years - i.e., on 1 April 2020; (c) A recursive formula for a(n), the amount in the account after nu years. d) A closed form solution for a(n), the amount in the account after n years. (e) The amount in the account on 1 April 2061. I. On 1 April 2018, €1,250 was invested in EUROBANK at a fixed rate of 4.5% per annum. This interest is compounded annually. No more lodgements are made. No withdrawals are to be made. Find: (a) a(1), the amount in the account after 1 year- i.e., on 1 April 2019; [2 marks [2 marks] [5 marks] [5 marks] [2 marks (b) a(2), the amount in the account after 2 years - i.e., on 1 April 2020; (c) A recursive formula for a(n), the amount in the account after nu years. d) A closed form solution for a(n), the amount in the account after n years. (e) The amount in the account on 1 April 2061.