Answer:
[tex]a_{n}[/tex] = 8 - 11n
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
here a = - 3 and
d = - 14 - (- 3) = - 14 + 3 = -11, thus
[tex]a_{n}[/tex] = - 3 - 11(n - 1)
= - 3 - 11n + 11
= 8 - 11n