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5 votes
43rd term
-30, -22, -14, -6

1 Answer

4 votes

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


a_(n) = 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

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