Formulate the recurslve formula for the following geometric sequence. /(/left\{-16,/4,/-1,… \right\}\)​

Question

Formulate the recurslve formula for the following geometric sequence.
/(/left\{-16,/4,/-1,… \right\}\)​

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Farah 4 years 2021-09-01T22:21:21+00:00 1 Answers 2 views 0

Answers ( )

  1. Adela
    0
    2021-09-01T22:22:21+00:00
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    Answer:

    • a₁ = -16
    • aₙ ₊ 1 = -1/4aₙ

    Step-by-step explanation:

    Given GP

    • -16, 4, -1, …

    To find

    • The recursive formula for the sequence

    Solution

    First term is:

    • -16

    Common ratio is:

    • -1/4

    Recursive formula:

    • a₁ = -16
    • aₙ ₊ 1 = -1/4aₙ

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