Question

Find the value of (1-(1/3))(1-(1/4))(1-(1/5))….(1-(1/100))

Answer 1

Answer:

1/50

Explanation:

(1- 1/3)(1- 1/4)(1- 1/5)...(1- 1/100)

= 2/3 × 3/4 × 4/5 ×...× 99/100

Here, we can see that the denominator of the previous term cancelled out with the numerator of the next term.

= 2/100

= 1/50

Hope, it helps you..