It is given in the question that,
![a_{1} = 2, r = \sqrt 3](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%202%2C%20r%20%3D%20%5Csqrt%203)
Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is
![a_{n} = a(r)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a%28r%29%5E%7Bn-1%7D)
Substituting the values of a and r, we will get
![a_{n} = 2( \sqrt 3)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%202%28%20%5Csqrt%203%29%5E%7Bn-1%7D)
So the correct option is the third option .
Answer:
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