Free Printable Linear Sequence

1.

Find the common difference of the following arithmetic sequence

7,11,15,19,23,...

(a)

2.

Which sequence here is non-linear?

a)

2, 4, 6, 8...

b)

5, 8, 11, 14

c)

2, 4, 8, 16....

d)

10, 7, 4, 1...

3.

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

a)

$2\frac{3}{6}$

b)

3

c)

$1\frac{5}{6}$

d)

$3\frac{1}{6}$

4.

Given the arithmetic sequence such that T(n)= -4n+1. Find T(-12)

(a)

5.

$\sqrt{2\ },\ \ \sqrt{7},\ \ \sqrt{12},\ \ \sqrt{17},\ ......$
find the nth term of this sequence.

a)

$\sqrt{5n-3}$

b)

$\sqrt{5n+3}$

c)

$5n-3$

6.

The first 5 terms in a number sequence are

2, 2.5, 3, 3.5, 4, ..., ...

Work out the nth term of the sequence.

a)

-0.5n+1.5

b)

0.5n+1.5

c)

0.5n-1.5

7.

$\frac{5}{17},\ \frac{8}{15},\ \frac{11}{13\ },\ \frac{14}{11},\ \frac{17}{8},\ .....$
Work out the nth term of the sequence.

a)

$\frac{5n+3}{2n+17}$

b)

$\frac{5n+2}{-2n+19}$

c)

$\frac{5n+3}{-2n-15}$

8.

Find an expression for the nth term of the sequence

98, 94, 90, ....

a)

-4n+94

b)

-4n+102

c)

-4n

d)

4n+94

9.

What is the nth term of the sequence

18, 16, 14, 12, ...

a)

18-2n

b)

20-2n

c)

2n+16

d)

n-2

10.

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

7, 16, 25, 24...

a)

9n-2

b)

9n+2

c)

9n-3

d)

9n+3

11.

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

5, 9, 13, 17...

a)

4n+1

b)

4n-1

c)

n+4

d)

n-4

12.

What is the nth term for the sequence

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

a)

5n+1

b)

n+5

c)

5n-1

d)

5n+4

13.

The nth term of a sequence is 100-7n.

Which of the following is not a term in the sequence?

a)

93

b)

65

c)

70

d)

9

14.

The first 5 terms in a number sequence are

10, 7, 4, 1, -2 , ..., ...

Work out the nth term of the sequence.

a)

3n-13

b)

3n+7

c)

-3n+13

15.

2, 9, 16, 23, 30

Find the 100th term in the sequence.

a)

695

b)

705

c)

700

16.

A sequence of numbers is shown.

2 , 9, 16, 23 , 30

Find an expression for the nth term of the sequence

a)

7n

b)

7n + 5

c)

7n - 5

17.

A number sequence has nth term 6n + 3

Write down the first four terms of this sequence.

(a)

18.

Here are the first five terms in a number sequence.

7 10 13 16 19

The 10th term in this number sequence is (a)

Linear Sequence

Total questions: 18

Worksheet time: 8mins

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