Question

if a-b,b-c,c-a are in GP then find the relation among a,b,c​

Answer 1

Step-by-step explanation:

${(b - c)}^{2} = (a - b)(c - a) \\ \\ {b}^{2} + {c}^{2} - 2bc = ac - {a}^{2} - bc + ab \\ \\ {a}^{2} + {b}^{2} + {c}^{2} - ac - bc - ab = 0$