For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 200 terms?	Choose the correct choice from the following answers: A) 40/41 B) 50/51 C) 100/101 D) 200/201 E) 400/401
a1 = 1 - 1/2   a2 = 1/2 - 1/3   a3 = 1/3 - 1/4   etc...   a200 = 1/200 - 1/201   The sum of these terms is 1-1/201 = 200/201   The answer is 200/201.
<result>D</result>
For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 200 terms?