 # 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. Key stage:  KS 3

Curriculum topic:  Algebra

Curriculum subtopic:  Use Sequences to Find the nth Term

Difficulty level:   ### 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

 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 B

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

## Column B

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

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 B

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

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 B

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

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 B

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

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 B

n=1
7
n=2
22
n=3
2
n=4
12
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 B

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

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 B

n=1
23
n=2
15
n=3
7
n=4
19
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 B

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

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 B

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

## 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.

## 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.

## 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.

## 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.

## 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.

## 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.

## 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.

## 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.

## 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.

## Column B

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