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4 November, 19:28

What is the formula for the nth term of a geometric sequence with a4 = 16 and r = 1/2?

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  1. 4 November, 20:05
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    We have a4 = a1 * q^3;

    Then, 16 = a1 * (1/8);

    a1 = 128;

    The formula for the nth term of a geometric sequence is an = a1 * q^n;

    an = 128 * (1/2) ^n = (2^7) / (2^n) = 2^ (7-n);
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