CHAPTER 1_PATTERNS & SEQUENCES

Describing number sequence using numbers, words & algebraic expressions

1a) Describe the pattern for the number
sequence 3, 7, 11, 15, 19, 23, …… by using
numbers.

Solution: + 4

1b) Describe the pattern for the number
sequence 3, 7, 11, 15, 19, 23, …… by using
words.

Solution: Add 4 to the previous
term.

Describing number sequence using numbers, words & algebraic expressions

1c) Describe the pattern for the number
sequence 3, 7, 11, 15, 19, 23, …… by using
Algebraic expressions.
Solution:

3 , 7 , 11 , 15 , 19 , 23 ,….

3 = 3 + 4(0)

3 , 7 , 11 , 15 , 19 , 23 ,….

3 = 3 + 4(0)
7 = 3 + 4(1)
11 = 3 + 4(2)
15 = 3 + 4(3)
19 = 3 + 4(4)

3 , 7 , 11 , 15 , 19 , 23 ,….

3 = 3 + 4(0)
7 = 3 + 4(1)
11 = 3 + 4(2)
15 = 3 + 4(3)
19 = 3 + 4(4)

3 , 7 , 11 , 15 , 19 , 23 ,….

3 = 3 + 4(0)
7 = 3 + 4(1)
11 = 3 + 4(2)
15 = 3 + 4(3)
19 = 3 + 4(4)

1c) Describe the pattern for the number
sequence 32,27,22,17,12,7 …… by using
Algebraic expressions.

32 , 27 , 22 , 17 , 12 , 7 ,….

32 , 27 , 22 , 17 , 12 , 7,….

32 = 32 - 5(0)
27 = 32 - 5(1)
22 = 32 - 5(2)
17 = 32 - 5(3)
19 = 32 - 5(4)

32 , 27 , 22 , 17 , 12 , 7,….

32 = 32 - 5(0)
27 = 32 - 5(1)
22 = 32 - 5(2)
17 = 32 - 5(3)
19 = 32 - 5(4)

1)a. Describe the pattern for the number
sequence 16, 22, 28, 34, 40 …… by using
Algebraic expressions.

b. Hence, determine the value of .

16, 22, 28, 34, 40 ……

2)a. Describe the pattern for the number
sequence 98, 84, 70, 56, 42…… by using
Algebraic expressions.

b. Hence, determine the value of .

98, 84, 70, 56, 42, ……

3) The first four terms for a sequence are

11 , x , -5 , -13,…..

a. Calculate the value of x.

b. State the value of .

4) The first four terms for a sequence are

9 , x , -5 , -12,…..

a. Calculate the value of x.

b. State the value of .