Finding Relationship Between Numerical Patterns

Stacy and Justin created number patterns. Stacy's rule is "Add 2". Justin's rule is "Add 4". Both patterns start at 0. Which is true about the third number in each of their patterns?

• The third number in both patterns is 4.

• The third number in both patterns is 8.

• The third number in Justin's pattern is double the number in Stacy's pattern.

• The third number in Justin's pattern is 2 more than the third number in Stacy's pattern.

Two patterns are listed:

Pattern 1: 1, 2, 4, 8, 16

Pattern 2: 0, 3, 6, 9, 12

What are the next terms in both patterns?

• 20,14

• 32,15

• 18,15

• 24,14

Michael and John are creating patterns. Michael uses the rule “multiply by 2” and starts at 5. John uses the rule “add 8” and starts at 16. What is the first number in Michael’s pattern that also appears in John’s pattern?

• 5

• 16

• 40

• 80

A table is made using the following two patterns:

Pattern x starting at 7 uses the rule "Add 1"

Pattern y starting at 14 uses the rule "Add 2".

What are the second terms in the pattern?

• 8,18

• 9,16

• 6,12

• 8,16

What is the rule that relates sequence 1 to sequence 2?

Sequence 1: 2, 4, 6, 8, 10

Sequence 2: 6, 12, 18, 24, 30

• Multiply by 2

• Multiply by 3

• Add 4

• Multiply by 5 and subtract 4

The table shows two sequences of numbers.
 
The rule that describes the number of T-shirts sold relates to the amount earned is....

• multiply by 5
• add 10
• multiply by 3
• divide by 5

Jawan made a table to figure out how much he earns at his job.
 
The table shows two sequences of numbers. What is the missing number?

• 183
• 203
• 224
• 784

What is the relationship between these two patterns? 
A: 4, 12, 20, 28, 36,...
B: 6, 14, 22, 30, 38,...

• Pattern B is two less than Pattern A
• Pattern B is two times more than pattern A
• Pattern B is two more than Pattern A
• Pattern B is half of pattern A

Look at the two patterns. Tell whether each statement is true of false. 
A: 6, 12, 18, 24, 30,...
B: 12, 24, 36, 48, 60,...
Each term in Pattern B is twice that of Pattern A

• True
• False

Look at the two patterns. Tell whether each statement is true of false. 
A: 6, 12, 18, 24, 30,...
B: 12, 24, 36, 48, 60,...
The rule for Pattern A is "multiply by 2"

• True
• False