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![What is the value of: 1/3[(1/2 - 1/5)+(1/3-1/6)+(1/4-1/7)+...] ?](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "What is the value of: 1/3[(1/2 - 1/5)+(1/3-1/6)+(1/4-1/7)+...] ?"){kind=icon}
21 Jan 2022, 07:45
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B
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Difficulty:
45%
(medium)
Question Stats:
69% (02:21) correct
31%
(02:28)
wrong
based on 264
sessions
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What is the value of: \(\frac{1}{3}[(\frac{1}{2} - \frac{1}{5})+(\frac{1}{3}-\frac{1}{6})+(\frac{1}{4}-\frac{1}{7})+...]\), where both denominators in successive terms increased by 1?
(A) \(\frac{11}{19}\)
(B) \(\frac{13}{36}\)
(C) \(\frac{29}{49}\)
(D) \(\frac{31}{43}\)
(E) \(\frac{49}{59}\)
(A) \(\frac{11}{19}\)
(B) \(\frac{13}{36}\)
(C) \(\frac{29}{49}\)
(D) \(\frac{31}{43}\)
(E) \(\frac{49}{59}\)
21 Jan 2022, 08:52
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Answer B
Explanation below
Explanation below
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09 Sep 2024, 05:41
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Bunuel
The denominator has to be divisible by 3. Only B can be the answer.
