Question

-2/3.7+-2/7.11+-2/11.15+...+-2/97.101

Answer 1

A=\(\frac{-2}{3.7}\)+\(\frac{-2}{7.11}\)+\(\frac{-2}{11.15}\)+....+\(\frac{-2}{97.101}\)

A=\(\frac{-1}{2}\).(\(\frac{4}{3.7}\)+\(\frac{4}{7.11}\)+\(\frac{4}{11.15}\)+.....+\(\frac{4}{97.101}\))

A=\(\frac{-1}{2}\)(\(\frac{1}{3}\)-\(\frac{1}{7}\)+\(\frac{1}{7}\)-\(\frac{1}{11}\)+\(\frac{1}{11}\)-\(\frac{1}{15}\)+....+\(\frac{1}{97}\)-\(\frac{1}{101}\))

A=\(\frac{-1}{2}\).(\(\frac{1}{3}\)-\(\frac{1}{101}\))

A=\(\frac{-1}{2}\).\(\frac{104}{303}\)=\(\frac{-52}{303}\)