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2 January, 23:10

Find an explicit formula for the arithmetic sequence

81,54,27,0, ...

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  1. 3 January, 01:29
    0
    an = - 27n + 108.

    Step-by-step explanation:

    The first term a1 = 81 and the common difference d = 54-81 = - 27. (Also 27 - 54 = - 27 and 0 - 27 = - 27).

    The explicit formula is

    an = a1 + d (n - 1)

    = 81 - 27 (n - 1)

    = - 27n + 81 + 27

    = - 27n + 108.
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