Answer
${{a}_{2}}=2{{a}_{1}}-4=\underline{2}$.
Work Step by Step
The second term of the sequence can be obtained by putting $n=2$. Then, for the third term, simply put $n=3$, and so on for other terms.
We are given that ${{a}_{n}}=2{{a}_{n-1}}-4$ and ${{a}_{1}}=3$.
Now, to find the second term, put $n=2$;
$\begin{align}
& {{a}_{2}}=2{{a}_{2-1}}-4 \\
& =2{{a}_{1}}-4 \\
& =2\left( 3 \right)-4 \\
& =2
\end{align}$
