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30 October, 05:40

A geometric sequence has a common ration (s) of 3 and the 8th term (a8) is 13,122. What

is the first term of the sequence (a1) ?

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  1. 30 October, 09:14
    0
    First term a = 6

    Step-by-step explanation:

    a (first term) = ?

    r (common ratio) = 3

    T₈ (8th term) = 13122

    The nth term of a geometric progression gp is

    Tn = arⁿ⁻¹

    T₈ = ar⁸⁻¹

    T₈ = ar⁷

    13122 = a * 3⁷

    13122 = a * 2187

    a = 13122 / 2187

    a = 6.

    The first term a = 6
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