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30 September, 14:25

Find the 14th term of the geometric sequence 5, - 10, 20, ...

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  1. 30 September, 14:51
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    -130

    Step-by-step explanation:

    The formula for the nth term of a geometric sequence is

    a (n) = a (1) * r * (n - 1), where r is the common ratio, a (1) is the first term and n is the index.

    /

    Here r = - 2 and the first term is 5. Thus,

    a (14) = 5 (14 - 1) (-2) = 5 (13) (-2) = - 130
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