sjcl1526 wrote:M is the sum of reciprocals of the consecutive integers from 201 to 300 inclusive. which of the following is true?

We don't need to calculate sum of reciprocals.
Look at the options, we need an estimated value or a bound for M.

M = (1/201 + 1/202 + 1/203 + ... + 1/299 + 1/300)

Note that there are 100 terms in the sum.
Also note that each term in the sum is less than 1/200 and more than 1/300 (except 1/300 which is equal to 1/300).

So, (1/300 + 1/300 + ... 100 times) < M < (1/200 + 1/200 + ... 100 times)
--> 100/300 < M < 100/200
--> 1/3 < M < 1/2

The correct answer is A.