Number Pattern Rules

Melissa and Javier are creating number patterns. Melissa uses the rule, "multiply by 2" and starts at 2. Javier uses the rule, "add 4" and starts at 4. Which term in Melissa's sequence equals Javiers second term?

• Melissa's second term equals Javier's fourth term of 23.

• Melissa's fourth term equals Javier's fourth term of 16.

• Melissa's third term equals Javier's second term of 8.

• Melissa's fifth term equals Javier's fourth term of 18.

The table below shows the number of cards that two friends add to their collection using two different rules. Which statement is always true when comparing the number of cards that Sayuri and James have?

• James has 4 fewer cards than Sayuri.

• James has 20 fewer cards than Sayuri.

• James has 3 times fewer cards than Sayuri has.

• James have 6 times fewer cards than Sayrui has.

Use the rules below to continue the numerical patterns, both patterns begin with 0. Pattern A: add 4 Pattern B: add 7

• Pattern A: 0, 4, 8, 12, 16, 24

  Pattern B: 0, 7, 14, 21, 28, 42

• Pattern A: 0, 3, 6, 9, 12, 15

  Pattern B: 0, 12, 24, 36, 48, 60

• Pattern A: 0, 4, 8, 12, 16, 20

  Pattern B: 0, 7, 14, 21, 28, 35

• Pattern A: 4, 8, 12, 16, 20, 24

  Pattern B: 7, 14, 21, 28, 35, 42

Ernestina and Ransel each created a number pattern. Ernestina's rule is "Add 2." Ransel's rule is "Add 6." Both patterns start at 0. Which is true about the third number in each of their number patterns?

• The third number is Ransel's pattern is triple the third number in Ernestina's pattern.

• The third number in both patterns is odd.

• The third number in Ernestina's pattern is three times as much as the third number in Ransel's pattern.

• The third number in Ransel's pattern is double the third number in Ernestina's pattern.

What is the rule for this pattern?

32, 36, 40, 44

• add 4

• multiply 2

• subtract 4

• divide by 2

How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50

• Subtract 2

• Subtract 3

• Subtract 4

• Add 3

What rule could be used to create the pattern 9, 18, 27, 36, 45, 54

• multiply each term by 2 to get the next term

• multiply each terms by 9 to get the next term

• add 9 to get the next term

• add 3 to get the next term

Drag and drop the correct answer choice to each answer blank.

The rule ×4 is used to represent the relationship between the input and output values of a number pattern. Complete the table to represent the relationship with the rule ×4.

e

f

g

h

9

50

24

7

60

30

8

48

What is the rule for this pattern? 35, 47, 59, ____

• add 15

• add 13

• add 12

• add 10

Determine which choice best describes the rule the pattern is using.

8 , 24 , 72 , 216 , 648

• Multiply 3

• Divide 6

• Add 4

• Multiply 6