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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
\(B_n=B_{n-1}+5\) 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