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

Now, as a,b,c are in GP.
Using the idea of geometric mean we can write –
∴ b2 = ac …(1)
Put in the LHS of the given equation to be proved –
⇒ LHS = ![]()
⇒ LHS = ![]()
⇒ LHS = ![]()
⇒ LHS =
= RHS
Hence Proved.
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