(2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2

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(2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 997/999) is equal to ?

1. 1001/999
2. 999/1001
3. 1001/3
4. 5/1001

Correct Option: C

Given expression
= (2 - 1/3) (2 - 3/5) (2 - 5/7) ... (2 - 997/999)
= ((6 - 1)/3) ((10 - 3)/5) ((14 - 5)/7) ... ((1998 - 997)/999)
= 5/3 x 7/5 x 9/7 x ... x 1001/999
Multiply and solve by using the law of algebra,
= 5/3 x 7/5 x 9/7 x ... x 1001/999
= 1001/3