To find the rule for each pattern and complete it, we'll determine if it's increasing (addition) or decreasing (subtraction).
Pattern: 19, 24
Determine the rule by subtracting: 24 − 19 = 5
The rule is to add 5.
If we continue the pattern: 19 , 24 , 29 , 34 , 39 , …
Pattern: 44, 32
Determine the rule by subtracting: 32 − 44 = − 12
The rule is to subtract 12.
If we continue the pattern: 44 , 32 , 20 , 8 , − 4 , …
Pattern: 90, 72
Determine the rule by subtracting: 72 − 90 = − 18
The rule is to subtract 18.
If we continue the pattern: 90 , 72 , 54 , 36 , 18 , 0 , − 18 , …
Pattern: 130, 170
Determine the rule by subtracting: 170 − 130 = 40
The rule is to add 40.
If we continue the pattern: 130 , 170 , 210 , 250 , 290 , …
Pattern: 97, 67
Determine the rule by subtracting: 67 − 97 = − 30
The rule is to subtract 30.
If we continue the pattern: 97 , 67 , 37 , 7 , − 23 , …
Pattern: 42, 54
Determine the rule by subtracting: 54 − 42 = 12
The rule is to add 12.
If we continue the pattern: 42 , 54 , 66 , 78 , 90 , …
Pattern: 36, 48
Determine the rule by subtracting: 48 − 36 = 12
The rule is to add 12.
If we continue the pattern: 36 , 48 , 60 , 72 , 84 , …
Pattern: 233, 229
Determine the rule by subtracting: 229 − 233 = − 4
The rule is to subtract 4.
If we continue the pattern: 233 , 229 , 225 , 221 , 217 , …
By identifying and applying these rules, you can extend each pattern accordingly.