Question
The product of three numbers in G.P. is 125 and the sum of their products taken in pairs is Find them.
Solution
Let the three numbers be
Since their product is 125
∴ a = 5
Since the sum of their products taken in pairs is
∴
When a = 5 and r = 2, numbers are or
When a = 5 and r = numbers are or 10, 5,