Page 16 - Past Year

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29. A 26 years old ladu gets a job at a company. Her starting salary is RM1400 and the

annual increment is RM90.
(a) What will her monthly salary be when she is 45 years old?

(b) What will her age be when she gets a monthly salary of RM2480?

30. Tower A has fifty floors. A cleaning company estimates that the charge of cleaning on
floor increases by 10% for each floor above the previous floor. If the charges for cleaning

the first floor is RM 100,

(a) List in the form of sequence, the first five charges of the first five floor
(b) Determine the type of sequence and T that can be used to estimate the cleaning
n
charges for any floor.

(c) Determine the charges to clean the top floor

(d) Find the expression of total charges to clean the first n floors. Hence calculate the
total charges to clean the first thirty floors.

31. An employee pays his debt monthly by paying RM 20 in the first month. For the

following months, he pays an additional RM4 of the previous month. How many months

will it take for him to pay a debt of RM3572? Hence calculate the amount he has to pay
in the last month.

32. Given a geometric series with common ratio more than one r   1 . The ratio of the sum

of the first four terms to the sum of its first two term is 10:1. Find the common ratio.

Hence if the third term of the series is 54, find the first term.

33. The first term and the sum of all terms for a geometric sequence is 4 and -59048
respectively. Given that the common ratio of the sequence is -3, find the number of terms

of this geometric sequence.