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10 July, 21:08

Find an explicit function rule for the sequence - 3, 3, 9, 15, ... Use the formula a (n) = a (1) + (n-1) d and simplify fully.

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  1. 11 July, 01:07
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    A (1) = - 3;

    a (2) = a (1) + (2 - 1) d;

    3 = - 3 + d;

    d = 6;

    a (3) = a (1) + (3 - 1) d;

    9 = - 3 + 2d;

    12 = 2d;

    d = 6;

    a (4) = a (1) + (4 - 1) d;

    15 = - 3 + 3d;

    18 = 3d;

    d = 6;

    Then, a (n) = - 3 + (n - 1) 6;

    a (n) = - 3 + 6n - 6;

    a (n) = 6n - 9 is an explicit functin rule for the sequence - 3, 3, 9, 15, ...
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