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9 September, 03:14

Write an explicit formula for a (n), the n^th term of the sequence 180,-30,5

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  1. 9 September, 03:35
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    a (n) = 180· (1/6) ^ (n-1)

    Step-by-step explanation:

    The generic formula for a geometric sequence is ...

    a (n) = a (1) ·r^ (n-1)

    Your sequence has a first term of a (1) = 180 and a common ratio of r=-1/6, so the explicit formula is ...

    a (n) = 180· (1/6) ^ (n-1)
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