In a certain sequence, the first term is 2, and each successive term is 3 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence? Select.
A) 360/109
B) 421/113
C) 488/135
D) 584/189
E) 821/165
let five terms in the sequence be a,b,c,d,e   a=3   b= 3+1/3=10/3   c=3+3/10= 33/10   d= 3+10/33 = 109/33   e= 3+33/109 = 360/109   hence answer should be 360/109.
<result>A</result>
In a certain sequence, the first term is 2, and each successive term is 3 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?