If a, b, c are in G.P., prove that :

Question

Philoid · Accepted Answer

Now, as a,b,c are in GP.

∴ b² = ac …(1)

Put in the LHS of the given equation to be proved –

⇒ LHS =

⇒ LHS = {putting b² = ac }

⇒ LHS = a³ + b³ + c³ = RHS ...(Hence Proved)