Does this sequence converge or diverge?
Does the sequence #a_n=(-1)^n *n+n# converge or diverge? If the sequence does converge, what number do the terms of the sequence converge to?
My answer is that it converges to 0. Am I correct?
Does the sequence
My answer is that it converges to 0. Am I correct?
1 Answer
Dec 16, 2017
This series diverges, since the even-valued terms in
Explanation:
If you write the first two terms:
you quickly see that this process repeats such that for every
As
Therefore, the series diverges.