Question

(1-1/2) (1-1/3) (1-1/4).......... (1-1/100) is equal to.......

Answer 1

Answer:

0.01

1 - 1/2 = 1/2

1 - 1/3 = 2/3

1 - 1/4 = 3/4

And so on.

1/2 * 2/3 * 3/4 ..... * 99/100

Like this, 2,3,4 and all the remaining numbers till 99 will cancel out with each other, except 1 and 100. As 1 cannot be cancelled and there is no 100 to cancel the other 100.

So, we will get 1/100 or 0.01.