Answer:
see explanation
Step-by-step explanation:
there is a common difference between consecutive terms , that is
d = 13 - 7 = 19 - 13 = 25 - 19 = 31 - 25 = 6
this indicates the sequence is arithmetic
the recursive formula lets us find any term in the sequence by adding the common difference to the previous term , that is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = 7
the next term in the sequence is
31 + 6 = 37
