M is the sum of the reciprocals of the consecutive integers from 301 to 400, inclusive. Which of the following is true? Choose the correct answer
A) 1/3 < M < 1/2	B) 1/5 < M < 1/3	C) 1/7 < M < 1/5	D) 1/9 < M < 1/7	E) 1/4< M < 1/3
M = 1/301 + 1/302 + 1/303 + ...... + 1/400   If we replace the first 99 terms by 1/400, then we get a sum = 100/400 = 1/4. Since the actual terms are larger than 1/400, the sum is larger than 1/4.   If we replace the all the 100 terms by 1/300, we get a sum = 100/300 = 1/3. Since the actual terms are smaller than 1/200, the sum is less than 1/3.   Therefore 1/4 &lt; M &lt; 1/3   Choice 1/4&lt; M &lt; 1/3
<result>E</result>
M is the sum of the reciprocals of the consecutive integers from 301 to 400, inclusive. Which of the following is true?