Answer:
a₄₃ = 306
Explanation:
there is a common difference between consecutive terms in the sequence , that is
- 22 - (- 30) = - 22 + 30 = 8
- 14 - (- 22) = - 14 + 22 = 8
- 6 - (- 14) = - 6 + 14 = 8
this indicates the sequence is Arithmetic with nth term formula
= a₁ + d(n - 1)
where a₁ is the first term , d the common difference and n the term number
we require to find the 43rd term , that is n = 43 , with
a₁ = - 30 and d = 8 , then
a₄₃ = - 30 + (8 × 42) = - 30 + 336 = 306