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

(a) 1/100
(b) 1/50
(c) 2/3
(d) 99/100

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (b) 1/50 

Solution:-
(1-1/3)(1-1/4)(1-1/5)………(1-1/n) = (2/3) x (3/4) x (4/5)x…..(n – 1)/n
= (2/n)

Then, the value of (1 – 1/3) (1 – 1/4) (1 – 1/5) ……………. (1 – 1/100)
 = 2/100
 = 1/50

Hence, the correct answer is option (b) 1/50. 

Anurag Mishra Professor Answered on 1st March 2016.
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