Question 1 1 1 1 -1, (a) Given a sequence 4 512 State the type of the sequence and determine the sum of all terms in the sequence, [4 marks) (b) The sum of the first eight terms in an arithmetic sequence is 220 and the seventh term is 35. Determine the first term and the common difference of the term [8 marks] (c) The sum of the first n terms of a geometric sequence is 511. If its first term is one and its common ratio is two, deduce the value of n. [4 marks] (d) James repaid a personal loan by making his payments as the following: RM1,650, RM1,600, RM1,500, RM1,550, ... He makes each payment every two months for three years. Calculate the final payment and estimate the total amount he had to pay to settle the loan e marvel (a) Zalikha makes a loan of RMX on 15th August 2019 at simple interest rate of 3.5% per annum. After 120 days, the amount of the loan is matured at RM15,000. Compute the maturity date of the loan. Hence, obtain the value of X using Banker's Rule. [6 marks (b) A couple made the transactions on the given dates as in the Table I below. The account pays an interest of 6%. Calculate the value of the account on 1st June 2020, Table 1: Transactions History Date Transaction 12 January 2020 Opened an account - Deposit RM500 19 March 2020 Withdrew RM250 29 April 2020 Withdrew RM100 (8 marks] (c) Determine the duration taken for a sum of money to quadruple at simple interest rate of 15% [4 marks]