Consider the sequence
a_{n} = \dfrac{n\cos(n\pi)}{2n-1}.
Write the first five terms of a_{n} , and
find \lim_{n\rightarrow\infty}a_{n} . If the sequence diverges, enter
"divergent" in the answer box for its limit.

a) First five terms:

b)

You can earn partial credit on this problem.