Solving Problems with Numerical Patterns

What is the relationship between the two patterns?

• add 2

• add 10

• multiply by 3

• multiply by 5

Which is the correct equation for the pattern in the table?

• y = 0.3x

• y = x + 0.3

• y = 3x

• y = x + 3

True or False? In the pattern below the 3 and 15 are corresponding terms.
A: 1,3, 5, 7
B: 3,9,15,21

• False

• True

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.

Jesus is working on 2 sequences and identifying the numbers they have in common. Pattern 1 starts at 5 and follows the rule "Add 10". Pattern 2 starts at 70 and follows the rule "Subtract 7". Which number is common to both patterns?

• 28

• 35

• 42

• 55

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?

• Multiply by 2

• Multiply by 3

• Add 4

• Multiply by 5 and subtract 4

Select all the statements that describe the two patterns.

A: 1, 3, 5, 7, 9,...

B: 5, 15, 25, 35, 45,...

• Pattern A follows the rule "Add 2"

• Pattern B is 1/5 of Pattern A.

• Pattern A is 1/5 of Pattern B.

• Pattern B is 5 times greater than Pattern A.

• Pattern A is 5 times greater than Pattern B.

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