For a geometric sequence $(a_n)$ with all positive terms and common ratio $r$ $$\begin{aligned}
& a_1 + \frac{1}{2} + r \\
& a_7^2 = a_5 + 12 \cdot a_3
\end{aligned}$$ the equalities are given.
For a geometric sequence $(a_n)$ with all positive terms and common ratio $r$
$$\begin{aligned}
& a_1 + \frac{1}{2} + r \\
& a_7^2 = a_5 + 12 \cdot a_3
\end{aligned}$$
the equalities are given.