I'm studying for a upcoming test about sequences. While solving some exercises I had trouble figuring out if this sequence converges or not.
$$a_n = \frac{[(-1)^n+1] \cdot (n+1)}{n}$$
May anyone teach me how to determinate if it converges or not?
2026-04-25 04:06:58.1777090018
How to determine if the sequence $a_n = \frac{[(-1)^n+1](n+1)}{n}$ converges or diverges?
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Hint: $|a_{n+1} - a_n|\longrightarrow 2$