A=\(\frac{1}{42}+\frac{1}{56}+..............+\frac{1}{210}\)
=\(\frac{1}{6.7}+\frac{1}{7.8}+............+\frac{1}{14.15}\)
=\(\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+............+\frac{1}{14}-\frac{1}{15}\)
=\(\frac{1}{6}-\frac{1}{15}\)
=\(\frac{1}{10}\)