Patterns and Sequences | Improve Tuition | Tutors | Tuition | Tutoring | Tutor
Select Page

Patterns and Sequences

KS3 Maths Foundation Questions – Patterns and Sequences

1) Find the nth term for each sequence:

a) 13, 17, 21, 25, …
Nth term =

b) 33, 38, 43, 48, …
Nth term =

c) 51, 53, 55, 57, …
Nth term =

d) -667, -674, -681, -688, …
Nth term =

e) 4, -4, -12, -20, …
Nth term =

2) Find the missing terms:

a) 44, , 56, 62, ,

b) , 34, 38, , 46,

c) 11, 23, , , 59,

d) 77, 67, , 47, , 27,

e) 123, , , , 51, 33

f) -1, -10, , -28, ,

3) Find both the missing terms and the nth terms. Also determine for the 50th term in each sequence would be.

a) 44, , 54, 69, ,

Nth term = 50th term =

b) , 93,, 102, , 112

Nth term = 50th term =

c) -7, , , , -31, -37

Nth term = 50th term =

d) 23, , , 11, 7,

Nth term = 50th term =

e) 60, 67, , , 81,

Nth term = 50th term =

f) 90, , 86, , , 80

Nth term = 50th term =

KS3 Maths Higher Questions – Patterns and Sequences

1) Use the nth term to find the missing terms.

a) Nth term = 7n + 9 20th term =
45th term =

b) Nth term = 7 – 3n 20th term =
45th term =

c) Nth term = 5n + 3 20th term =
45th term =

d) Nth term = n2 + 9 20th term =
45th term =

e) Nth term = 20 – 5n 20th term =
45th term =

f) Nth term = 7 – 9n 20th term =
45th term =

g) Nth term = 3n2 + 2 20th term =
45th term =

2) Find the missing terms and the nth terms. Determine the specified term.

a) 27, , 17, 12,,

Nth term = 20th term =

b) , 6.5, , 11.5, , 16.5

Nth term = 50th term =

c) -7, , , , -31, -37

Nth term = 34th term =

d) 23,, , 11, 7,

Nth term = 15th term =

e) 5, 9,, , 21,

Nth term = 75th term =

f) 90, , 86, , , 80

Nth term = 45th term =