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Identifying a Number Pattern or Sequence
Maths
(Intermediate Level)
Section A – Continuing a Number Sequence
In each of these questions, identify the next two numbers and describe the rule for
getting from one number to the next :
Sequence
Rule
Sequence
7,14,21,28,_,_
8,16,24,32,_,_
2,4,8,16,_,_
9,18,27,36,_,_
19,16,13,10,_,_
2,10,18,26,_,_
15,11,7,3,_,_
-17,-11,-5,1,_,_
0.5,2,3.5,5,_,_
80,40,20,10,_,_
Rule
Section B – Completing a Number Sequence
In these questions, complete the sequence by filling in the gaps. Again you should
identify the rule for the sequence :
Sequence
Rule
Sequence
6,_,16,21,_
9,_,5,3,_
-3,1,_,_,13
20,_,12,_,4
-9,1,_,_,31
1,_,_,8,16
3,6,_,_,48
50,39,_,_,6
1,1.5,_,_,3
6,2,_,_,-10
Rule
(Please turn over)
Section C – Identifying Sequences using Diagrams
Draw the next two patterns in each of these sequences :
a)
b)
c) Draw your own continuing pattern in the space below :
Extension
Identify the 20th term in each of these sequences :
a)
6, 12, 18, 24, 36 ……
b)
15, 30, 45, 60, 75 ……
c)
5, 9, 13, 17, 21 ……
d)
7, 12, 17, 22, 27 ……
Try & work out how to calculate the 20th term without having to list all the
terms!