Page 15 - Past Year

13 | P a g e

23. Julie bought an electric piano through an installment plan with a down payment of

RM 1 000. She paid RM 100 for the first month with an increment of RM 25 every
month until the plan is settled. If the final monthly instalment was RM 675, find

(a) the number of months she took to settle the installment.

(b) the total amount she paid to buy the piano.

2
24. (a) The first, second and third terms of a geometric series are r, s and s respectively.
2
The first, second and third term of an arithmetic series are r, s and s respectively.
Determine the values of r and s with s  .
0
29
(b) If the sequence 4, , , x y forms an arithmetic sequence, find the values of x and
2
y.

(c) The nth term of a certain sequence is n  2 n 3.

(i) Find the sum of the first three terms.
(ii) Which term is 243?

25. The third term of a geometric sequence exceeds the second term by 6 and the second
term exceeds the first term by 9. Find the sum of the first four terms.

26. There are 20 rows of seats in a concert hall with 25 seats in first row, 27 seats in the
second row, 29 seats in the third row and son on.
(a) Find the number of seats in the last row.
(b) Determine the total number of seats in the hall.
(c) If the price per ticket is RM 500 for the first three rows and RM 200 for the rest,
how much will be the total sales for a one-night concert if all seats are sold?

27. The first three terms of a geometric sequence are m  , 1 6 and m  4 where m  . 

m
Show that m satisfies the equation m 2  3  40  0. Hence, compute the possible
values for m.

28. The first term and sum of the first n terms of an arithmetic sequence are -21 and 26499
rd
respectively. Find the value of the 23 term of the sequence if the last term of the
sequence is 459.