Mathematics - Sequence & Series Question with Solution | TestHub

Since $\mathrm{a}+\mathrm{c}=2\mathrm{b},\mathrm{ac}\le b^2$ and $b^3\ge 4$. Conversely for each $\mathrm{b}\ge \sqrt[3]{4}$, choose positive a,c with $\mathrm{a}+\mathrm{c}=2\mathrm{b}$ and $\mathrm{ac}=4/\mathrm{b}$. Every listed integer part is possible.