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Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, ...}

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  • Thales

    4 / -16 = -1/4. (also -1/4 = -1/4).

    The general form of the sequence is:
    a, ar, ar^2, ar^3....

    Where r is the ratio: 1/4, and a is first term: -16.

    You can see each term is just ar^n where n is the term number, starting where the first term n=0.

    So the general formula would be:

    -16(-1/4)^n