Finding two geometric means between 10 and 125: a 1 = 10, a 4 = 1250 a 4 = a 1 * q^3 1250 = 10 * q^3 q^3 = 1250 : 10 q^3 = 125 q = 5 a 2 = 10 * 5 = 50 a 3 = 10 * 5² = 10 * 25 = 250 Answer: The two geometric means are: 50 and 250, since 10, 50, 250 , 1250 forms a geometric sequence.