Answer:
234
Step-by-step explanation:
The consecutive terms of the sequence have a common difference d
d = 17 - 10 = 24 - 17 = 7
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 = 10 and d = 7 , thus
[tex]a_{33}[/tex] = 10 + (32 × 7) = 10 + 224 = 234
