Describing sequences using term to term rules
Teacher notes
Students should cut out the 24 cards. (They are randomly arranged on the page so no
clues given.)
They can then be matched up in groups of three:



the first four terms of the sequence (followed by dots)
the rule for the sequence
the next four terms (preceded by dots)
Answers
First four terms
Term to term rule
Next four terms
4, 9, 14, 19, ...
First term 4
Add 5
... 24, 29, 34, 39
11, 8, 5, 2, ...
First term 11
Subtract 3
... -1, -4, -7, -10
7, 10, 13, 16, …
First term 7
Add 3
... 19, 22, 25, 28
-8, -5, -2, 1, ...
First term -8
Add 3
... 4, 7, 10, 13
8, 4, 0, -4, …
First term 8
Subtract 4
... -8, -12, -16, -20
3, 8, 13, 18, ...
First term 3
Add 5
... 23, 28, 33, 38
3, 7, 11, 15, ...
First term 3
Add 4
... 19, 23, 27, 31
8, 5, 2, -1, ...
First term 8
Subtract 3
...- 4, -7, -10, -13
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Describing sequences using term to term rules
3, 7, 11, 15, …
First term 4
Add 5
… -8, -12, -16, -20
… 4, 7, 10, 13
First term 11
Subtract 3
…19, 22, 25, 28
First term 7
Add 3
First term -8
Add 3
11, 8, 5, 2, …
4, 9, 14, 19, …
3, 8, 13, 18, …
8, 5, 2, -1, …
© www.teachitmaths.co.uk 2015
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Describing sequences using term to term rules
… -1, -4, -7, -10
7, 10, 13, 16, …
First term 8
Subtract 4
-8, -5, -2, 1, …
…19, 23, 27, 31
First term 3
Add 5
… -4, -7, -10, -13
First term 3
Add 4
8, 4, 0, -4, …
… 23, 28, 33, 38
First term 8
Subtract 3
… 24, 29, 34, 39
© www.teachitmaths.co.uk 2015
24576
Page 3 of 3