The Value of (2- 1/3)(2-3/5)(2-5/7)…….(2-997/999) is:

  1. 1001/999
  2. 1001/5
  3. 5/999
  4. 1001/3
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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1 Answer(s)

Answer: (4) 1001/3

Explanation:-
(2 – 1/3) (2 – 3/5) (2 – 5/7)……………………….(2 – 997/999)
 = {(6 – 1)/3} {(10 – 3)/7} {(14 – 5)/7}………………….{(1998 – 997)/999}
 = 1001/3

Hence, the answer is (4) 1001/3.

Anurag Mishra Professor Answered on 17th November 2015.
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