Problem Solving

For all \(n\) such that \(n\) is a positive integer, the terms of a certain sequence \(B\) are given by the following rules:

\(B_n=B_{n-1}+5\) if \(n\) is odd and greater than \(1;\)
\(B_n=-B_{n-1}\) if \(n\) is even;
\(B_1=3.\)

What is the sum of the first \(65\) terms in the sequence?

(A) –5
(B) 0
(C) 3
(D) 5
(E) 8

Answer: C

Source: Manhattan GMAT