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8 November, 23:54

What is the explicit rule for this sequence?

-5, 15, - 45, 135, ...

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  1. 9 November, 02:28
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    Step-by-step explanation:

    In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

    an = a1r^ (n - 1)

    Where

    a represents the first term of the sequence.

    r represents the common ratio.

    n represents the number of terms.

    From the given sequence,

    a1 = - 5

    r = 15 / - 5 = - 3

    Therefore, the explicit rule for this sequence is

    an = - 5 ( - 3) ^n - 1
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