Question

2/1.2 + 2/2.3 +2/3.4+..........+2/99.100

Answer 1

= 2/1 - 2/2 + 2/2 - 2/3 + 2/3 - 2/4 + ..... + 2/99 - 2/100

= 2/1 + 2/100

= 101/50

 

Answer 2

2/1 - 2/2 + 2/2 - 2/3 + 2/3 - 2/4 +...+ 2/99 - 2/100

= 2/1 - 2/100

=  99/50