Answer:
[tex]Progression: 11, 18, 25[/tex]
[tex]Rule: Add\ 7[/tex]
Step-by-step explanation:
Given
[tex]List: 8, 11, 13, 18, 25, 37[/tex]
Sample
[tex]Progression: 8, 13, 18;[/tex]
[tex]Rule: Add\ 5[/tex]
Required
Generate a progression with three numbers and state the rule
We will use the method of trial and error to get the solution
Start with digit 11
Add 7:
[tex]11 + 7 = 18[/tex]
Add 7:
[tex]11 + 7 + 7 = 18 + 7 = 25[/tex]
Hence, the progression is: 11, 18 and 25
Rule: Add 7