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Vincen
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\(M\) is the sum of the reciprocals of the consecutive integers from \(201\) to \(300,\) inclusive. Which of the following is true?
(A) \(\dfrac13 < M < \dfrac12\)
(B) \(\dfrac15 < M < \dfrac13\)
(C) \(\dfrac17 < M < \dfrac15\)
(D) \(\dfrac19 < M < \dfrac17\)
(E) \(\dfrac1{12} < M < \dfrac19\)
Answer: A
Source: Official Guide
(A) \(\dfrac13 < M < \dfrac12\)
(B) \(\dfrac15 < M < \dfrac13\)
(C) \(\dfrac17 < M < \dfrac15\)
(D) \(\dfrac19 < M < \dfrac17\)
(E) \(\dfrac1{12} < M < \dfrac19\)
Answer: A
Source: Official Guide
