the first, second, and third terms in the geometric progression are k,k-6, 2k-28 respectively. given that all terms of the geometric progression are positive, calculate the value of constant k.

Answer 1

remember that the terms have a constant ratio, so

(2k-28)/(k-6) = (k-6)/k

Now just solve for k. You will get two answers, only one of which makes all the terms positive.