3(a) Find the recurrence relation and the initial conditions that generate the following sequences representing ao, a, a, a3, (0 2 12, 17,... (i) 93, 22, 35,. [3 marks] [3 marks] (b) A recurrence relation is given as an an-2 ta- where n > 1, ao 11 and a1-18, find a2, a3 and a. [3 marks] (c) Given the sequence 12 4, 7, where a 1, a1ao and 82 2 + al [2 marks] [3 marks] write the equation for a3. (i) find the answer for a, as and ag (c) Jenni deposited RM5000 in a bank that pays annual interest of 4.0% [1 mark] (i) iJenni does not withdraw the money but keeps the money for ind the amount Jenni has after one year another year at the same rate, what is the amount Jenni has after another year? [1 mark] (i) if Jenni does not withdraw the money but yet keeps the money for another year at the same rate, what is the amount Jenni has after another year? [1 mark] write a recurrence relation for the computation above. [1 mark] (iv) (d) The computation in Part (c) above is based on compound interest. The formula for calculating the amount of the end of a period is given by Where A is the amount of money at the end of a period; P is the principal amount of money deposited; is the interest rate for the period, annually, half yearly, quarterly n is the total number interest periods under consideration. Calculate the amount that Jenni has after 3 years in part c above (0) [2 marks] (i) Using the formula, calculate the amount Jenni would have after 8 [2 marks] years (ii) If the compound interest is calculated half yearly, what is the amount Jenni has after 8 years? [3 marks] 4. Solve the following recurrence relations (a) -2an-1 where a1 (b)an3an-1 where a 2 [12 marksl [13 marks]