MAT112 BUSINESS MATHEMATICS
CHAPTER 1 (SEQUENCE) 1. The third term and the sixth term of an arithmetic sequence are 39 and 30 respectively. Find i) the first term and the common difference (a = 45, d = -3) ii) the sum of the first six terms in the sequence. (225) (Q3(a) Oct 2012) 2. When Muaz started working in 2002, his starting salary was RM1,800. Every year his salary increases 3% based on the previous year’s salary. What is his salary in year 2011? (RM2348.59) (Q3(b) Oct 2012) 3. Amiran rents a shop on the first floor, Chua chooses the second floor and Nadia prefers the third floor in a shopping mall. They pay rents RM5700, RM5,200 and RM4,700 respectively each month. i) Find the monthly rental of the sixth floor, if the sequence of the rent amounts maintained. (RM3,200) ii) How many floors are there in the shopping mall if an owner of a shop of the highest floor has to pay RM700 per month? (n = 11) iii) If another businessman wants to a rent a shop in the mall, and he sets that the monthly rental should not more than RM3000 each month, which floor(s) should he choose? (n ≥ 7) (Q3(a) March 2012) 4. Given a sequence 25, 31, 37,……….., 103. State whether the sequence is geometric or arithmetic. i) Find the number of terms in the sequence. (n = 14) ii) Find the sum of the sequence. (896) (Q4(a) Sept 2011) 5. 6. The third term and the sixth term of an arithmetic sequence are 24 and 60 respectively. Find the common difference and the first term. (d = 12, a = 0) (Q1(a) oct2010) 7. The fifth term of a geometric sequence is 252 and the common ratio is 0.5. Find the first term and the sum of the first ten terms. (8056.125) (Q1(a) 0ct2010) 8. In a geometric sequence, the seventh term exceeds the fifth term by 1,920. Find the sum of the first eleven terms if the common ratio of the sequence is 2. (81880)
(Q3(a) apr2010) 9. The first term in an arithmetic sequence is -5 and the last term is 40. If the common difference is 3, find the: i) number of terms in the sequence. (16) ii) sum of all the terms in the sequence. (280)
(Q3(b) apr2010) 10. Given the first three terms of Geometric Sequence: 2b+2, b+4, b, where each of the term is positive, find: i) the value of b. (8) ii) the first term and common ratio. (18, 2/3)
(Q3(a) oct2009) 11. Given the sequence : 10, 8, 6, … , -24. Calculate : i) the number of terms in the sequence.(18) ii) the sum of the sequence.(-126)
(Q3(a) apr2009) 12. An electrical appliances shop owner estimates that his sales will increase by 5% every month. The sales for the first month were RM30.000. Find i) the sales for the 10th month.(RM46539.86) ii) the total sales for the first year.(RM477513.80)
(Q3(a) oct2008) 13. In an arithmetic sequence, the sum of the first ten terms is 125 and the third term is 5. Find: i) the first term and the common difference. (a = -1, d = 3) ii) the sum of the first 15 terms. (300)
(Q3(a) apr2008) 14. In a drawing contest, all 16 participants will be given cash prizes as follows: RM725 for the first winner, RM695 for the second winner, RM665 for the third winner, and so on. Calculate the total amount of money awarded to all the participants. (RM8000)
(Q3(a) oct2007) 15. The first term of an arithmetic sequence is 5 and its last term is 40. If the common difference is 1/4, find the number of terms in the sequence. ( 141)
(Q3(a) apr2007) 16. In a geometric sequence, the 7th term exceeds the 5th term by 48. Find the first term if the common ratio is 2. (1)
(Q3(a) apr2007) 17. The second term and the sixth term of an arithmetic sequence are 85 and 105, respectively. Find the common difference and the first term. (d = 5, a = 80)
(Q5(a) oct2006)