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30 January, 02:04

Write an exponential function to describe the given sequence of numbers.

9, 54, 324, 1944, 11664, ...

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  1. 30 January, 02:19
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    a (n) = 9·6^ (n-1)

    Step-by-step explanation:

    The general term a (n) of a geometric sequence with first term a (1) and common ratio r is given by ...

    a (n) = a (1) ·r^ (n-1)

    Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

    a (n) = 9·6^ (n-1)
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