Answer :

As a, b, c are in G.P.


Therefore


b2 = ac … (1)


We have to prove a2, b2, c2 are in GP or


we need to prove: (b2)2 = (ac)2 {using idea of GM}


On squaring equation 1 we get,


b4 = a2c2


(b2)2 = (ac)2


Hence a2,b2,c2 are in GP.


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