illegal racing
ASSIGNMENT 1
1. For a given arithmetic sequence, the sum of the third term and the sixth term is 86. The eleventh term is 56. Find the
a) first term and the common difference. (6m)
b) nth term. (2m)
2. A couple estimates that the expense of caring for their baby will increase by RM1.80 from the previous month’s expenses. The cost for the first month when the baby was born was RM22. What
a) were the expenses for the 10th month and the 15th month after the baby was born? (4m)
b) were the total expenses for the first two years? (3m)
3. Three successive terms of a geometric sequence are x – 6 , x and 9 + 2x. All the terms of the sequence are positive.
a) Find x. (2m)
b) If x is the fifth term, find the first term of the sequence. (2m)
4. The monthly maintenance cost of a car increases by 2% from the previous month’s cost. It is given that the maintenance cost for the first month is RM60. Find the
a) cost of maintenance for the 20th month. (2m)
b) total maintenance cost for the first 5 years of using the car. (3m)
5. A man applies for a personal loan from a bank for the amount of RM21,000. The bank charges interest of 11%. If the bank calculates that the interest is RM16,170, how long is the duration of the loan? (2m)
6. Rashid opened an account with a deposit of RM400. Two months later, he deposited an additional RM500 into the account. The account pays an interest of 8%. Calculate the interest for the
a) first two months after opening the account. (2m)
b) next four months after he made his second deposit. (2m)
1. For a given arithmetic sequence, the sum of the third term and the sixth term is 86. The eleventh term is 56. Find the
a) first term and the common difference. (6m)
b) nth term. (2m)
2. A couple estimates that the expense of caring for their baby will increase by RM1.80 from the previous month’s expenses. The cost for the first month when the baby was born was RM22. What
a) were the expenses for the 10th month and the 15th month after the baby was born? (4m)
b) were the total expenses for the first two years? (3m)
3. Three successive terms of a geometric sequence are x – 6 , x and 9 + 2x. All the terms of the sequence are positive.
a) Find x. (2m)
b) If x is the fifth term, find the first term of the sequence. (2m)
4. The monthly maintenance cost of a car increases by 2% from the previous month’s cost. It is given that the maintenance cost for the first month is RM60. Find the
a) cost of maintenance for the 20th month. (2m)
b) total maintenance cost for the first 5 years of using the car. (3m)
5. A man applies for a personal loan from a bank for the amount of RM21,000. The bank charges interest of 11%. If the bank calculates that the interest is RM16,170, how long is the duration of the loan? (2m)
6. Rashid opened an account with a deposit of RM400. Two months later, he deposited an additional RM500 into the account. The account pays an interest of 8%. Calculate the interest for the
a) first two months after opening the account. (2m)
b) next four months after he made his second deposit. (2m)