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the 12th term in a geometric sequence is 49, and the 14th term is 2401 . Find the 15th term

  • Math -

    just use the formulas you have:

    T12 = ar^11 = 49
    T14 = ar^13 = 2401

    T14/T12 = r^2 = 49
    so, r = 7 or -7

    T15 = T14 * r = 16807 or -16807.

    Can't tell, since we don't know whether r is 7 or -7.

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