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1 November, 12:19

A sequence is defined recursively by f (1) = 16 and f (n) = 3f (n-1) + 2. Find f (4)

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  1. 1 November, 15:51
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    If you would like to find f (4), you can calculate this using the following steps:

    f (1) = 16

    f (n) = 3 * f (n-1) + 2

    f (2) = 3 * f (2-1) + 2 = 3 * f (1) + 2 = 3 * 16 + 2 = 48 + 2 = 50

    f (3) = 3 * f (3-1) + 2 = 3 * f (2) + 2 = 3 * 50 + 2 = 152

    f (4) = 3 * f (4-1) + 2 = 3 * f (3) + 2 = 3 * 152 + 2 = 458

    The correct result would be f (4) = 458.
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