When Simplified, the Product

[(2-1)/3] [(2-2)/3] [(2-5)/7]……[(2-997)/999] equals:

  1. 5/3
  2. 1001/3
  3. 5/999
  4. 1001/999
Monis Rasool Professor Asked on 27th June 2015 in Maths.
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1 Answer(s)

Answer: (2) 1001/3
Explanation:-

(2 – 1/3) x (2 – 3/5) x (2 – 5/7)  . . .  (2 – (2k-1)/(2k+1))  . .  (2 – 997/999)
= 5/3 x 7/5 x 9/7 x 11/9  . . .  (2k+3)/(2k+1)  . . .  999/997 x 1001/999
= 1001/3
Hence, the answer is (2) 1001/3.

Anurag Mishra Professor Answered on 28th June 2015.
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