What is the recursive rule for this sequence - 2,-3,-5,-9

Answer: - 7, - 5, - 3, - 1

Step-by-step explanation:

Using the below formula, the sequence can be determined:

aₙ = aₙ₋₁ + 2

The question/query does not explicitly specify the nth term to be identified. Hence, answering this question open-endedly.

aₙ is the nth term that needs to be identified

aₙ₋₁ is the term before aₙ

Based on the sequence - 2, - 3, - 5, - 9 from the question, a₁ = - 2, a₂ = - 3, a₃ = - 5, a₄ = - 9. Say, for example, we need to find the 8th term, then we need to find the 7th term first.

So, the sequence of order will be a₅, a₆, a₇, a₈

Now, each term is two more than the previous term

a₅ = a₄ + 2 = - 9 + 2 = - 7

a₆ = a₅ + 2 = - 7 + 2 = - 5

a₇ = a₆ + 2 = - 5 + 2 = - 3

a₈ = a₇ + 2 = - 3 + 2 = - 1