Answer
$531440$
Work Step by Step
The general formula to find the nth partial sum of a Geometric sequence is given as: $ S_{n}=\dfrac{a(1-r^n)}{(1-r)}$
$ r=\dfrac{a_2}{a_1}=\dfrac{6}{2}=3$ and $ n=12$
Now, $ S_{n}=\dfrac{2(1-(3)^{12})}{(1-3)}=2 \times \dfrac{-531440}{-2}$
Our answer is: $ S_{n}=531440$
