A) 3/2, 1/2
B) 1, 1/2
C) 3/2, 2
D) None of these
Correct Answer: A
Solution :
\[\frac{a}{1-r}=3\] ?..(i) and \[\frac{{{a}^{2}}}{1-{{r}^{2}}}=3\] .....(ii) From (i) and (ii), \[\frac{a}{1+r}=1\Rightarrow a=1+r\] From (i), \[\frac{1+r}{1-r}=3\Rightarrow r=\frac{1}{2}\] , from (i), a = 3/2 So, first term = 3/2 and common ratio = 1/2.
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