Patterns are the rules that guide the formation of the sequence
A pattern for the rule is 4, 7, 12, 19...
The rule is given as:
[tex]a_x = x^2 + 3[/tex]
Let x = 1,
[tex]a_1 = 1^2 + 3 = 4[/tex]
Let x =2,
[tex]a_2 = 2^2 + 3 = 7[/tex]
Let x = 3,
[tex]a_3 = 3^2 + 3 = 12[/tex]
Let x = 4,
[tex]a_4 = 4^2 + 3 = 19[/tex]
Hence, a pattern for the rule could be 4, 7, 12, 19...
Read more about pattern and rules at:
https://brainly.com/question/2292361
