Question

BT:

8/9 - 1/2 - 1/6 - 1/12 - 1/20 - 1/30 - 1/42 - 1/56 - 1/72 =

Answer 1

\(\frac{8}{9}-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}-\frac{1}{42}-\frac{1}{56}-\frac{1}{72}\)

=\(\frac{8}{9}-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\)

=\(\frac{8}{9}-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+.....+\frac{1}{8.9}\right)\)

=\(\frac{8}{9}-\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+.....+\frac{1}{8}-\frac{1}{9}\right)\)

=\(\frac{8}{9}-\left(\frac{1}{1}-\frac{1}{9}\right)\)

=\(\frac{8}{9}-\frac{8}{9}\)

=\(0\)

Answer 2

=0