Linear Sequences

Linear Sequences

Multiple Choice

What is the common difference of the following sequence?

• 2

• 8

• 10

• 5

Multiple Choice

What is the next number in this sequence 4, 8, 12, ......, 20?

• 10

• 16

• 18

Multiple Choice

Find the sequence; 2, 4, 8, 16, 32...............

• add 4

• multiply by 2

• add 2

Multiple Choice

What is the Rule for this sequence?

3, 7, 11, 15, ...

• +6

• +5

• +4

• +2

Multiple Choice

What is the common ratio for the sequence:

28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

Multiple Choice

The next term of the sequence 2,4,8,16 are

• 64
• 32
• 108
• 20

Multiple Choice

What is the common ratio of the following sequence?

• 4

• -4

• ¼

• -¼

Multiple Choice

How many dots will be in Pattern 4?

• 9

• 13

• 12

• 14

Multiple Choice

Find the n^th term of the following sequence...

7, 16, 25, 34...

• 9n-2

• 9n+2

• 9n-3

• 9n+3

Multiple Choice

Find the n^th term of the following sequence...

2, 5, 8, 11...

• 3n-1

• 3n+1

• n+3

• n-1

Multiple Choice

Find the n^th term of the following sequence...

8, 13, 18, 23...

• 5n+3

• 3n+5

• n+5

• n+3

Multiple Choice

Find the n^th term of the following sequence...

5, 9, 13, 17...

• 4n+1

• 4n-1

• n+4

• n-4

Multiple Choice

Write a formula for the following sequence:

5, 8, 11, 14, 17...

• U_n = 3n + 2

• U_n = 8 - 5n

• U_n = 5(3)^n-1

• U_n = 5 + 3n

Multiple Choice

Dots have been arranged in these patterns. How many dots would there be in pattern n?

• 4n+2

• 4n-2

• 2n+4

• n+2

Multiple Choice

What is the nth term for the sequence

4, 9, 14, 19, 24, ....

• 5n+1

• n+5

• 5n-1

• 5n+4

Fill in the Blank

Here are the first five terms in a number sequence.

7 10 13 16 19

Find the nth term of this sequence

Fill in the Blank

A sequence of numbers is shown below.

1 5 9 13 17 ... ...

Find the nth term

Multiple Choice

Find the nth term for the following sequence:

-8, -5, -2, 1, 4, ...

• -3n - 5

• -8n + 3

• 3n - 11

• -3n + 5

Multiple Choice

Find the n^th term of the following sequence...

11, 17, 23, 29...

• 6n+5

• 6n-5

• 5n+6

• 5n-6

Multiple Choice

Find an expression for the nth term of the sequence

98, 94, 90, ....

• -4n+94

• -4n+102

• -4n

• 4n+94

Multiple Choice

Find the nth term for the following sequence:

29, 28, 27, 26, 25, ...

• 29n - 1

• -n + 29

• -n + 30

• 1n-30

Fill in the Blank

The first 5 terms in a number sequence are

10 7 4 1 -2

Find the nth term

Multiple Choice

Find the nth term for the following sequence:

 $2\frac{2}{3},\ \ 2\frac{1}{3}\ ,\ \ 2\ ,\ \ 1\frac{2}{3}\ ,\ \ 1\frac{1}{3}\ ,\ ...$  

•  $2\frac{2}{3}n\ -\ \frac{1}{3}$  

•  $\frac{1}{3}n\ +\ 2\frac{1}{3}$  

•  $-\frac{1}{3}n+3$ 

Multiple Choice

What is the 21st term of the sequence given by $x_n=4n-3$  

• 6

• 72

• 81

• 87

Multiple Choice

What is the 20^th term of the arithmetic sequence shown below.

7, 4, 1,...

• -49

• 50

• -50

• -51

Fill in the Blank

A number sequence has nth term 6n + 3

Write down the first four terms of this sequence

Multiple Choice

Identify the common difference of the sequence below:

-2.3, -1.1, 0.1, 1.3,...

• -1.2

• 1.3

• 1.2

• -1.3

Multiple Choice

What is the missing number in the sequence
 $?\ ,\ 2\frac{5}{6},\ 2\frac{3}{6},\ 2\frac{1}{6}$  

•  $2\frac{3}{6}$  

• 3

•  $1\frac{5}{6}$  

•  $3\frac{1}{6}$  

Fill in the Blank

The nth term of a number sequence is given by 5n + 2

Find the 11th term

Fill in the Blank

The nth term of a sequence is 4 - 2n.

Find the difference between the 5th and 11th term.

Multiple Choice

Is 53 a term in the sequence 3n + 2?

• No, 53 does not divide by 2

• Yes, it's the 12th term

• Yes, it's the 17th term

• No, 53 is not in the 3 times table

Open Ended

Sara says that 1008 is a term in the sequence 6n + 3. Explain why she is wrong.

Multiple Choice

One term in the sequence given by 2n - 3 is 17.

Which value of n gives this term?

• 17

• 10

• 20

• The term is not in the sequence

Open Ended

Sara says that 1008 is a term in the sequence 6n + 3. Explain why she is wrong.

Fill in the Blank

The nth term of a sequence is 150 - 4n.

Work out the first negative term?

Multiple Choice

The nth term of a sequence is 5n -1.

Will this?

A - Always be a multiple of 5?

B - Sometimes be a multiple of 5?

C - Never be a multiple of 5?

• A

• B

• C

Multiple Choice

The nth term of a sequence is 3n + 1.

Will this?

A - Always be a multiple of 5?

B - Sometimes be a multiple of 5?

C - Never be a multiple of 5?

• A

• B

• C