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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