Answer:
[tex]a_{23}[/tex] = - 177
Step-by-step explanation:
The n th term formula for an arithmetic sequence is
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
d = - 9 - (- 1) = - 9 + 1 = - 8 and a = - 1, hence
[tex]a_{23}[/tex] = - 1 + (- 8 × 22) = - 1 - 176 = - 177
