Mathematics - Sequence & Series Question with Solution | TestHub

Statement 1: Starting with an equilateral triangle of side 24, repeatedly join the side midpoints to form smaller triangles. The sum of the perimeters of all triangles, including the original, is 144. Statement 2: If $lo{g}_2(\mathrm{a}+\mathrm{b})+lo{g}_2(\mathrm{c}+\mathrm{d})\ge 4$ for real numbers with $\mathrm{a}+\mathrm{b}>0$ and $\mathrm{c}+\mathrm{d}>0$, the minimum possible $\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}$ is 8 .