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Write the Terms of a Sequence from a Formula

In this worksheet, students find the first five terms of a sequence from a given formula.

'Write the Terms of a Sequence from a Formula' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Sequences

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, you must find the first five terms of a sequence from a given formula.

 

Example

We can find the terms of a sequence from a formula which relates each term to its position in the sequence


The nth term of a sequence is given by the formula 3n+2

 

Substitute n=1   first term is 3×1+2 = 5
  n=2   second term is 3×2+2 = 8
  n=3   third term is 3×3+2 = 11
  n=4   fourth term is 3×4+2 = 14
  n=5   fifth term is 3×5+2 = 17

 

The first five terms are    5    8    11    14    17


NB The difference between each term is 3. In the formula you multiply n by 3 to get 3n
 

Answer

n=1 5
n=2 8
n=3 11
n=4 14
n=5 17

The nth term of a sequence is given by the formula 6n-4

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
2
n=2
26
n=3
20
n=4
14
n=5
8

The nth term of a sequence is given by the formula 7n+3

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
10
n=2
31
n=3
38
n=4
17
n=5
24

The nth term of a sequence is given by the formula 5n+3

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
23
n=2
28
n=3
8
n=4
18
n=5
13

The nth term of a sequence is given by the formula 6n-1

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
5
n=2
11
n=3
23
n=4
29
n=5
17

The nth term of a sequence is given by the formula 4n+1

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
17
n=2
5
n=3
13
n=4
9
n=5
21

The nth term of a sequence is given by the formula 5n-3

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
12
n=2
2
n=3
7
n=4
22
n=5
17

The nth term of a sequence is given by the formula 6n+4

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
10
n=2
34
n=3
16
n=4
22
n=5
28

The nth term of a sequence is given by the formula 4n+3

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
7
n=2
15
n=3
19
n=4
23
n=5
11

The nth term of a sequence is given by the formula 7n-2

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
19
n=2
5
n=3
26
n=4
12
n=5
33

The nth term of a sequence is given by the formula 7n+4

Match the first five terms of the sequence to the given values of n.

Column A

Column B

n=1
39
n=2
25
n=3
11
n=4
18
n=5
32
  • Question 1

The nth term of a sequence is given by the formula 6n-4

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
2
n=2
8
n=3
14
n=4
20
n=5
26
  • Question 2

The nth term of a sequence is given by the formula 7n+3

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
10
n=2
17
n=3
24
n=4
31
n=5
38
  • Question 3

The nth term of a sequence is given by the formula 5n+3

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
8
n=2
13
n=3
18
n=4
23
n=5
28
  • Question 4

The nth term of a sequence is given by the formula 6n-1

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
5
n=2
11
n=3
17
n=4
23
n=5
29
  • Question 5

The nth term of a sequence is given by the formula 4n+1

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
5
n=2
9
n=3
13
n=4
17
n=5
21
  • Question 6

The nth term of a sequence is given by the formula 5n-3

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
2
n=2
7
n=3
12
n=4
17
n=5
22
  • Question 7

The nth term of a sequence is given by the formula 6n+4

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
10
n=2
16
n=3
22
n=4
28
n=5
34
  • Question 8

The nth term of a sequence is given by the formula 4n+3

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
7
n=2
11
n=3
15
n=4
19
n=5
23
  • Question 9

The nth term of a sequence is given by the formula 7n-2

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
5
n=2
12
n=3
19
n=4
26
n=5
33
  • Question 10

The nth term of a sequence is given by the formula 7n+4

Match the first five terms of the sequence to the given values of n.

CORRECT ANSWER

Column A

Column B

n=1
11
n=2
18
n=3
25
n=4
32
n=5
39
---- OR ----

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