 ## 1.9 Progressions, SPM Practice (Paper 2)

Question 3: An arithmetic progression has 16 terms. The sum of the 16 terms is 188, and the sum of the even terms is 96. Find (a) the first term and the common difference, (b) the last term. Solution: (a) Let the first term = a Common difference = d Given                   S 16 =188 Thus,   … Read more1.9 Progressions, SPM Practice (Paper 2)

## 1.9.1 Progressions, SPM Practice (Paper 2)

Question 1: Diagram below shows part of an arrangement of bricks of equal size. The number of bricks in the lowest row is 100. For each of the other rows, the number of bricks is 2 less than in the row below. The height of each brick is 7 cm. Rahman builds a wall by … Read more1.9.1 Progressions, SPM Practice (Paper 2)

## 1.9 Geometric Progressions, SPM Practice (Paper 1)

Question 11: Express the recurring decimal 0.187187187 … as a fraction in its simplest form. Solution: Question 12: Given that  1 p =0.1666666…..                      =q+a+b+c+….. where p is a positive integer. If q = 0.1 and a + b + c are the first three terms of a geometric progression, state the value of a, b and … Read more1.9 Geometric Progressions, SPM Practice (Paper 1)

## 1.9 Geometric Progressions, SPM Practice (Paper 1)

Question 6: The first three terms of a sequence are 2, x, 18. Find the positive value of x so that the sequence is (a) an arithmetic progression, (b) a geometric progression. Solution: Question 7: Given a geometric progression 2 z , 3,  9z 2 , q,…. express q in terms of z. Solution: Question 8: The … Read more1.9 Geometric Progressions, SPM Practice (Paper 1)

## 1.9 Geometric Progressions, SPM Practice (Paper 1)

Question 1: The fourth term of a geometric progression is –20. The sum of the fourth and the fifth term is –16. Find the first term and the common ratio of the progression. Solution: Question 2: The fourth and the seventh terms of a geometric progression are 18 and 486 respectively. Find the third term. … Read more1.9 Geometric Progressions, SPM Practice (Paper 1)

## 1.5 Arithmetic Progressions, SPM Practice (Paper 1)

Question 11: An arithmetic progression consists of 10 terms. The sum of the last 5 terms is 5 and the fourth term is 9. Find the sum of this progression. Solution: Question 12: The sum of the first 6 terms of an arithmetic progression is 39 and the sum of the next 6 terms is … Read more1.5 Arithmetic Progressions, SPM Practice (Paper 1)

## 1.5 Arithmetic Progressions, SPM Practice (Paper 1)

Question 6: Find the number of the multiples of 8 between 100 and 300. Solution: Question 7: Find the sum of all the multiples of 7 between 100 and 500. Solution: Question 8: If log 10 p,  log 10 pq and  log 10 p q 2 are the first three terms of a progression, show that … Read more1.5 Arithmetic Progressions, SPM Practice (Paper 1)

## 1.5 Arithmetic Progressions, SPM Practice (Paper 1)

Question 1: The third and eighth terms of an arithmetic progression are –5 and 15 respectively. Find (a) The first term and the common difference (b) The sum of the first 10 terms. Solution: (a) T 3 =−5   → Use  T n =a+( n−1 )d a+2d=−5→( 1 ) T 8 =15 a+7d=15→( 2 ) ( 2 )−( … Read more1.5 Arithmetic Progressions, SPM Practice (Paper 1)

## SPM Form 5 Additional Mathematics Chapter 1 – Progression

01 Progression  Formula (PDF Copy) Arithmetic Progression Characteristics of arithmetic progressions The steps to prove whether a given number sequence is an arithmetic progression The nth term of an arithmetic progression Example 1  Example 2  Example 3 Example 4 The number of terms in an arithmetic progression The consecutive terms of an arithmetic progression The sum of … Read moreSPM Form 5 Additional Mathematics Chapter 1 – Progression

## SPM Practice 2 (Geometric Progression) : Question 15

Question 15 (Question on compound interest – Must try this question)Choong started working for a company on 1 January 2008 with an initial annual salary of RM28800. Every January, the company increased his salary by 5% of the previous year’s salary. Calculate(a) his annual salary, to the nearest RM on 1 January 2013,(b) the minimum value of … Read moreSPM Practice 2 (Geometric Progression) : Question 15