A geometric progression is such that the 3rd term is nine times the 1st term while the 2nd term one twenty fourth of the 5th term.find its 4th term

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  1. "the 3rd term is nine times the 1st term" ---->ar^2 = 9a
    r^2 = 9
    r = ± 3

    "the 2nd term one twenty fourth of the 5th term" ---> ar = (1/24)ar^4
    24ar = ar^4
    24 = r^3 <----- This contradicts the first condition in your question.

    Fix your question.

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