Question

3/5x6+3/6x7+...+3/87x88

Answer 1

A = \(\dfrac{3}{5\times6}\) + \(\dfrac{3}{6\times7}\)+...+ \(\dfrac{3}{87\times88}\)

A = 3\(\times\)( \(\dfrac{1}{5\times6}\) + \(\dfrac{1}{6\times7}\)+...+ \(\dfrac{1}{87\times88}\))

A = 3 \(\times\)( \(\dfrac{1}{5}\) - \(\dfrac{1}{6}\) + \(\dfrac{1}{6}\) - \(\dfrac{1}{7}\) +...+ \(\dfrac{1}{87}\) - \(\dfrac{1}{88}\))

A = 3 \(\times\)( \(\dfrac{1}{5}\) - \(\dfrac{1}{88}\))

A = 3 \(\times\) \(\dfrac{83}{440}\)

A = \(\dfrac{249}{440}\)