Mathematics - Sequence & Series Question with Solution | TestHub

Six arithmetic means $A_i$, six geometric means $G_i$, and six harmonic means $H_i$ are inserted between 2 and 72. If $G$ is the single geometric mean between 2 and 72, evaluate $\frac{\left({\prod }_{i=1}^6{G}_i\right)\left({\sum }_{i=1}^{6}1/H_i\right)}{{\sum }_{i=1}^6{A}_i}$.