Question

1/2*3+1/3*4+1/4*5+........+1/5*6+.... 1/9*10​

Answer 1

Answer:

$\frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \frac{1}{4 \times 5} + ........... + \frac{1}{9 \times 10} =$

$\frac{3 - 2}{2 \times 3} + \frac{4 - 3}{3 \times 4} + \frac{5 - 4}{4 \times 5} + ............ + \frac{10 - 9}{9 \times 10} =$

$\frac{1}{2} - \frac{1}{3} + \frac{1}{3} - \frac{1}{4} + \frac{1}{4} - \frac{1}{5} + ........ + \frac{1}{9} - \frac{1}{10} =$

$\frac{1}{2} - \frac{1}{10} = \frac{5 - 1}{10} = \frac{4}{10} = \frac{2}{5} \: \: \: ans.$

Mark BRAINLIEST if this is helpful to you. Thanks