Q8 of 176 Page 20

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

As


a, b, c are in G.P, let r be the common ratio.


Therefore,


b = ar … (1)


c = ar2 … (2)


To prove:


As, LHS =


⇒ LHS =


⇒ LHS =


⇒ LHS =


As, RHS = = LHS


Clearly, LHS = RHS


Hence proved


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