Answer:
- 77
Step-by-step explanation:
Note there is a common difference d between consecutive terms of the sequence, that is
51 - 55 = 47 - 51 = 43 - 47 = - 4
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 = 55 and d = - 4, thus
[tex]a_{34}[/tex] = 55 + (- 4 × 33) = 55 + (- 132) = 55 - 132 = - 77
