The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence?
Options:
A) 201/100  B) 99/100  C) 100/101  D) 1/10000  E) 200/201
Easy task and accomplish   X1=1-1/2   x2=1/2-1/3   x3=1/3-1/4   .....   x199=1/199-1/200   x200=1/200-1/201   sum=X1+X2+X3+....X200=1-1/2+1/2-1/3+.......1/199-1/200+1/200-1/201=1-1/201=200/201   200/201 is the answer
<result>E</result>
The sequence x1, x2, x3,..., is such that Xn = 1/n - (1/(n+1)). What is the sum of the first 200 terms of the sequence?