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15 April, 20:38

The first term of a geometric sequence is - 10 and the common ratio is 4 what is the fifth term of the sequence

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  1. 15 April, 20:48
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    a (5) = - 2560

    Step-by-step explanation:

    The general form of the equation of a geometric series is

    a (n) = a (1) * (r) ^ (n-1),

    where a (1) is the first term, r is the common ratio.

    Here, a (1) = - 10 and r = 4, so

    a (n) = - 10 (4) ^ (n-1).

    The fifth term of this sequence is a (5) = - 10 (4) ^ (5-1), or

    a (5) = - 10 (4) ^ (4), or a (5) = - 10 (4) ^4 = - 2560
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