Chapter 6 Number Patterns

Chapter 6 Number Patterns

Multiple Choice

What are the next 2 terms of the number sequence below?

2, 5, 8, 11, 14 ...

• 20, 17

• 16, 18

• 17, 20

• 19, 25

2, 5, 8, 11, 14 ....

The set of numbers above forms a number sequence.

Multiple Choice

2, 5, 8, 11, 14...

The numbers in the number sequence are known as ____________ of the sequence.

• values

• terms

• positions

2, 5, 8, 11, 14...

• 1st term is 2

• 2nd term is 5

• 3rd term is 8

• 4th term is 11

• The numbers/ terms are governed by a specific rule.

2, 5, 8, 11, 14...

The specific rule for this number sequence is:

start with 2, then add 3 to get the next term.

Multiple Choice

Let's try! Identify the rule for the following sequence.

1, 3, 5, 7, 9 ...

• start with 1 then add 3 to each term to get the next term.

• start with 1 then add 2 to each term to get the next term.

• start with 1 then subtract 3 to each term to get the next term.

Multiple Choice

Let's try! Identify the rule for the following sequence.

1, 2, 4, 8, 16...

• start with 1 then add 2 to each term to get the next term.

• start with 1 then multiply each term by 3 to get the next term.

• start with 1 then multiply each term by 2 to get the next term.

Problem-solving Tip

• Check if the sequence is a common one that you recognise.

• Check how two consecutive terms might be related through addition, subtraction, multiplication or division.

• To observe the pattern, we need to list at least 4 TERMS

Multiple Choice

COPY THE Q INTO YOUR NOTE BOOK.

Write down the next 2 terms of the sequence:

-20, -26, -32, -38, -44 ...

• -50, -56

• 50, 56

• -56, -50

• 56, 50

Multiple Choice

COPY THE Q INTO YOUR NOTE BOOK.

Write down the next 2 terms of the sequence:

1, 2, 4, 7, 11, 16 ...

• 21, 26

• 22, 29

• 20, 24

• 19, 22

General Term of Simple Number Sequences

Turn to Textbook Page 149

Multiple Select

Investigation Activity (Pg 149)

3, 6, 9, 12, 15 ...

Select the answers that indicate the nth term and the 100th Term.

• T_n = 3 + n

• T_n = 3n

• T₁₀₀ = 300

• T_{n = 103}

Multiple Select

Investigation Activity (Pg 150)

1, 4, 9, 16, 25 ...

Select the answers that indicate the nth term and the 100th Term.

• T_n = 2n

• T_n = n+2

• T_n = n²

• T₁₀₀ = 200

• T₁₀₀ = 10000

Multiple Select

Investigation Activity (Pg 150)

1, 8 , 27, 64, 125 ...

Select the answers that indicate the nth term and the 100th Term.

• T_n = 3n

• T_n = n³

• T_n = n²

• T₁₀₀ = 300

• T₁₀₀ = 1 000 000