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    What Is The Smallest Number In A GP Whose Sum Is 38 And Product 1728?

    asked 2 years ago

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    In GP there are three unknowns i.e.
    • First term,
    • Common ratio
    • Number of terms.
    There can be infinite number of answers as there are only two data present in this question

    answered 1 year ago

    the answer given is wrong. there are only two unknown involved. one is the first term and the second is the common ratio. let three numbers be in gp they are a, ar, ar^2.
    then the product is 1728 implies (ar)^3 = 12^3 . this implies ar = 12 or a = 12/r. substitute in the sum a(1+r + r^2) = 38 gives the numbers 8,12,18 or 18,12,8. note that the value of r is 3/2.

    comment made by Veeraa1729 6 months ago    Report

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