Sequences – Worksheet #1
For each of the following…1) Identify the pattern 2) classify the sequence 3) fill in the missing terms 4) write a rule for the sequence.
1) 48, 57, 66, 75, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 48, 57, 66, 75, ___, ___, ___, ___, …
Rule:___________________________________________________
2) 6, 18, 54, 162, …
Pattern:__________________
Type of sequence:__________________
3)
Extend the sequence: 6, 18, 54, 162, _____, _____, _____, _____, …
Rule:___________________________________________________
0.2, 0.8, 3.2, 12.8, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 0.2, 0.8, 3.2, 12.8, _____, _____, _____, _____, …
Rule:___________________________________________________

Sequences – Worksheet #1
4) 256, 128, 64, 32, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 256, 128, 64, 32, ___, ___, ___, ___, …
Rule:___________________________________________________
5) 19.3, 17.1, 14.9, 12.7, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 19.3, 17.1, 14.9, 12.7, ____, ____, ____, ____, …
6)
Rule:___________________________________________________
5 ½, 8, 10 ½, 13, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 5 ½, 8, 10 ½, 13, _____, _____, _____, _____, …
7)
Rule:___________________________________________________
1, 6, 36, 216, …
Pattern:__________________
Type of sequence:__________________
Extend the sequence: 1, 6, 36, 216, ______, ______, ______, ______, …
Rule:___________________________________________________

Sequences – Worksheet #1
What is the missing element in the following number pattern?
3.1, _____, 12.4, 24.8, 49.6, ...
A 3.2
B
C
D
4.6
5.4
6.2
What is the next element in the following number pattern?
A
B
1
32
1
,
16
1
,
8
2
1
1
,
4
, ...
If the pattern continues, how much will Carl earn next year?
A
B
C
D
The following pattern represents the amount of money Carl earned each year delivering newspapers.
$65, $85, $105, $125, $145, ...
$155
$165
$175
$185
What is the missing element in the following number pattern?
C
D
1
2
1
3
1
4
8
,
4
,
15
4
,
22
4
, _____,
36
4
, ...
What is the 7 th
element in the following number pattern?
A
B
C
D
25
4
27
4
29
4
31
4
4, 11, 18, 25, 32, ...
A
B
39
43
C
D
46
49
If n represents an element in the following number pattern, which expression can be used to find the next element in the pattern?
162, 54, 18, 6, 2, ...
A
B
C
D
1
3
3 n n n – 4 n ÷ 4