Answer:
[tex]a_{33}[/tex] = - 364
Step-by-step explanation:
There is a common difference between consecutive terms. that is
d = 172.3 - 189.6 = 155 - 172.3 = - 17.3
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 189.6 and d = - 17.3 , thus
[tex]a_{33}[/tex] = 189.6 + (32 × - 17.3) = 189.6 - 553.6 = - 364
