Decimal Patterns
Whole Number Sequences
Increasing and Decreasing Patterns
Inputs and Outputs
Algebraic Thinking
100

What is the pattern rule for this sequence?

2.5, 2.7, 2.9, 3.1…

add 0.2 each time. 

100

What are the next three numbers?
5, 10, 15, 20…

25, 30, 35

100

What is the next term?


80, 75, 70, 65…

60

100

Using the rule add 4, what is the output when the input is 3?

12

100

Write the algebraic rule for “add 5.”

HINT: you need to use a letter. 

n + 5 

200

What is the pattern rule?

9.8, 9.3, 8.8, 8.3…

minus 0.5 each time. 

200

What is the pattern rule?
1000, 100, 10, 1…

divide by 10. 

200

Identify the pattern rule.


85, 79, 73, 67…

minus 6 

200

A sandbox has 300 cm³ of sand. It gains 20 cm³ every second.
How much sand is in the sandbox after 5 seconds?

400 cm³

200

Question: What is the rule for this table?

Input:     1, 2, 3 

Output:   3, 6, 9 

multiply by 3 

300

What are the next two terms in the sequence?

1.4, 1.1, 0.8, 0.5…

0.2, –0.1

300

What are the next three terms?
3, 6, 9, 12, 15…

18, 21, 24

300

What are the next three terms?


–2, –1, 0, 1, 2…

3, 4, 5 

300

The rule is Output = Input × 3.
What is the output when the input is 6?

18

300

A number doubled, then subtract 4.

HINT: you need to use a letter. 

2n - 4

400

Identify the pattern rule for this sequence:


6.2, 7.7, 9.2, 10.7…

add 1.5 each time. 

400

Is this pattern linear or nonlinear?


1, 4, 9, 16, 25…

Nonlinear (square numbers)

400

What is the pattern rule?


0, 18, 36, 54, 72…

add 18. 
400

A pattern increases by 7 each step.


If Input = 0 → Output = 10,
what is the Output at Input = 4?

38

400

The rule is 10n – 3


What is the output when n = 7?

67!!!!!!!!!

500

A pattern starts at 3.9 and follows the rule –1.2.


What is the 5th term?

minus 0.9 each time. 

500

What is the pattern rule?


–5, –1, 3, 7, 11…

add 4 each time. 

500

What are the next three terms?


7, –1, –10, –20, –31…

–43, –56, –70

500

The rule is Output = 50 – 4 × Input.


What is the output when Input = 8?

18 

500

A pattern follows the rule 4n + 1.


Write the first five terms.

HINT: n=the term number 

5, 9, 13, 17, 21

M
e
n
u