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9 September, 08:16

Find the 14th term of the following geometric sequence.

5, 15, 45, 135, ...

What's the answer to this problem

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  1. 9 September, 08:40
    0
    The 14th term is 7971615

    Step-by-step explanation:

    The nth term of a geometric sequence is

    T_n = ar^ (n-1)

    T_14 = ar^13

    where a is the first term = 5

    r is the common ratio gotten by dividing second term by first term or third term by second term

    r = 15/5=45/15=135/45=3

    T_14 = 5[3^ (13) ]

    T_14 = 5 (1594323)

    T_14 = 7971615
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