Question

\(\frac{2}{2x4}\)+\(\frac{2}{4x6}\)+\(\frac{2}{6x8}\)+\(\frac{2}{8x10}\)+\(\frac{2}{10x12}\)+\(\frac{2}{12x14}\)

Answer 1

\(=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{14}\)

\(=\frac{1}{2}-\frac{1}{14}\)

\(=\frac{3}{7}\)