(1/36)+(1/37)+……+(1/66)+(1/67) is including in which of the following ranges?
Options: A) 2 B) 1 C) 1~ 2 D) 3 E) 1/2~1
Number of terms in the given series = 32.   The lowest term is 1/67 , the largest being 1/36.   Thus, the sum of the given series will be more than   1/67 + 1/67.....1/67 (32 times)   ---&gt; 32*(1/67) = 32/67   less than 1/36 + 1/36...... 1/33 (32 times)   ---&gt; 32*(1/36) = 32/36 = 1 (approx)   1/2~1
<result>E</result>
(1/36)+(1/37)+……+(1/66)+(1/67) is including in which of the following ranges?