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4 August, 11:46

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

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  1. 4 August, 14:58
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    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
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