Answer:
[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 7
Step-by-step explanation:
Note the common difference d between consecutive terms in the sequence, that is
d = - 35 - (- 28) = - 42 - (- 35) = - 49 - (- 42) = - 7
Thus to obtain a term in the sequence subtract 7 from the previous term
[tex]a_{n+1[/tex] = [tex]a_{n}[/tex] - 7 with a₁ = - 28