Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ..

Question

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ..

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Answers ( No )

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    2021-09-11T09:41:52+00:00

    We have got an geometric progression.

    We use to find any term of a geometric sequence, this equation:

    an=a₁ * r^(n-1)

    a₁= is the first term.

    r=is the common ratio.

    n=numbers of the term to find.

    r=an / an-1

    In this case:

    r=a₂/a₁=(-4.8) / 9.6=-0.5

    a₁=9.6

    an=9.6*(-0.5)^(n-1)

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