1. PAKEJ PERCUTIAN MATEMATIK TAMBAHAN TINGKATAN 4
1. SPM 2003
The first three terms of an arithmetic progressionare k - 3, k + 3, 2k + 2. Find
(a) the value of k,
(b) the sum of the first 9 terms of theprogression. [ 3 marks ]
2. SPM 2006
a) The 9 th term of an arithmatic progression is 4 + 5p and thesum of the first four terms of the
progression is 7p – 10, wherep is constant.Given that the common difference of the progression is 5,
findthe value of p. [ 3 marks]
3. SPM 2005
The first three terms of an arithmatic progressionare 5,9,13. Find
i) the common difference of the progression
ii) the sum of the first 20 terms after the 3rdterms [ 4 marks]
4. SPM 2004
Given an arithmatic progression -7, -3,1 … state threeconsecutive terms in this progression which
sum up to 75 [ 3 marks ]
5. The first three terms of an arithmetic progression are h – 3, h + 3, 2h + 2. Find
(a) the value of h
(b) the sum of the first 9 terms of the progression
6. The 7thterm and the 12thterm of an arithmeticprogression are 27 and 47 respectively . Find the 30th
term [Answer 119 ]
7. The 13thterm of an AP is 27. Given that the 7thterm is 3 times than the second terms, find the first
term and the common difference. [Answer a = 3 , d = 2 ]
8. The 6thterm and the 16thterm of an arithmeticprogression are 25 and 85 respectively. Find the
25thterm [Answer 139 ]
9. If 3m – 1, 6m and 19 are three consecutive termsin AP find the value of m [m=2]
10. The first term for an AP is 13 and the sum first 25 terms is 875. Find
i) the common difference [ Ans 11/6 ]
ii) the 21stterm [Ans 49 2/3 ]
iii) the sum of the first 12 terms [ Ans 277]
11. In an AP the sum of the first 10 terms is 255 andthe sum of the next 5 terms is 315 . Find the
7thterms [
Ans 33]
12. The sum of the first six terms of an arithmetic progression is 120. The sum of the first sixterms is
90 more than the fourth term. Calculate the first term and the common difference. [a= -30, d=20]
13. An arithmetic progression has 10 terms. The sum of all these 10 terms is 220. The sum of
the odd terms is 100. Find the first term and the common difference. [a=4, d=4]
2
14. The sum of the first nterms of an arithmetic progression is given by S n 3n 13 n .
Find
(a) the ninth term,
(b) the sum of the next 20 terms after the 9th terms.[4 marks]