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19 October, 07:42

1/2,-4,32,-256 find an explicit formula for the sequence

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  1. 19 October, 08:18
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    This is a geometric sequence where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

    an = a1 * r^n-1

    where

    an = nth term

    a1 = 1st term

    r = common ratio

    In this problem, a1 = 1/2.

    Find the common ratio by dividing - 4 by 1/2 to get r = - 8.

    The explicit formula is an = (1/2) * (-4) ^n-1
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