Question S - 11 marks You should be able to answer this question ofter studying Unit 10. Sam sets up a savings account with an initial deposit of $1 000 in Year 1. Each year, the bank pays 2% interest on the previous year's balance into the savings account. As an illustration, the account balance in Year 1, 2, and 3 are shown in the table below: Year 1 Year 2 Year 3 1010 1000 + (0.02) (1010) 1020 1020 + 10.02)(1020) =1010.4 (a) Let us denote the account balance in Year n to be r.. Find the values of the first term r = a and the common ratio r, and write down the recurrence system for (r.). (b) Find the closed form for Im. 121 (c) Calculate Sam's account balance in Year 10, up to two decimal places. 121 (d) In what year will the account balance first excood $1 5007 Question 6 - 4 marks You should be able to answer this question ofter studying Unit 10. Find a fraction equivalent to the recurring decimal 0.1321 13211321. .. . 14] Question 7 - 4 marks You should be able to answer this question ofter studying Unit 10. Find the coofficiant of roy? in the binomial expansion of (27-=) 14]