Answer :

Let the given GP be a,ar,ar2,…


Sum of infinite GP is given by


According to the question



a = 3(1-r)


a =3-3r


a+3r = 3…(1)



the first term is a2 and the common ratio is r2.


According to the question






2a = 3+3r


2a-3r = 3…(2)


Equating 1 and 2 we get


a = 2 and r =1/3


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