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26 November, 15:04

Write a recursive function for the following geometric sequence, 6,18,54,162

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  1. 26 November, 15:34
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    f (n + 1) = 3f (n) with a₁ = 6

    Step-by-step explanation:

    The common ratio r of the geometric sequence is

    r = 18 : 6 = 3

    Thus to obtain the next term in the sequence multiply the previous term by 3

    Expressing this as a recursive function then

    f (n + 1) = 3f (n) with a₁ = 6
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