Question

(1-1/2).(1-1/3).(1-1/4).  ....  .(1-1/99).(1-1/100)

Answer 1

= 1/2 x 2/3 x 3/4 x ... x 98/99 x 99/100

= 1x2x3x...x98x99/2x3x4x...x99x100

= 1/100

Answer 2

(1-1/2).(1-1/3).(1-1/4). … .(1-1/99).(1-1/100) = (1/2).(2/3).(3/4). … .(99/100)

= [1/(23)] * [2/(34)] * … * [(99/100)]

= 1/100