## What is the sum of the first $$65$$ terms in the sequence?

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### What is the sum of the first $$65$$ terms in the sequence?

by M7MBA » Wed Sep 23, 2020 12:02 am

00:00

A

B

C

D

E

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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