Formulate the recursive formula for the following geometric sequence. {-16, 4, -1, …)

Question

Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, …)

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Charlie 2 hours 2021-10-14T12:57:14+00:00 1 Answer 0

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    2021-10-14T12:58:59+00:00

    Answer:

    = -16 × (-¼) ∧ n-1

    Step-by-step explanation:

    {-16, 4, -1, …)

    the sequence first term is -16

    a= -16

    Common ratio (r) = T2 ÷ T1 = T3 ÷ T2

    r = 4÷ -16 = -1 ÷ 4

    r = -1/4

    Formula for nth term

    Tn = ar∧n-1

    Tn = -16 × -1/4 ∧ n-1

    Tn = -16 × (-¼) ∧ n-1

    I hope this was helpful, please mark as brainliest

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