Three positive numbers form an increasing G.P.

Question:

Three positive numbers form 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 :

1. $\sqrt{2}+\sqrt{3}$

2. $3+\sqrt{2}$

3. $2-\sqrt{3}$

4. $2+\sqrt{3}$

Correct Option:

Solution: