Three positive numbers from an increasing G.P. if the middle term in this G.P. is doubled , the new numbers are in A.P. Then the common ratio of the G.P. is :

Question

$(a)\;2 - \sqrt{3} \qquad(b)\;2 + \sqrt{3}\qquad(c)\;\sqrt{2}+\sqrt{3}\qquad(d)\;3 + \sqrt{2}$