Question

an = 1+(-1)^n + (-1)^(n(n+1)) How do you know if this converges or diverges? And if it converges, what is its limit?

Answer 1

Write out the first few values for \(n\) and see if it looks like it converges or diverges.

Answer 2

Ah, it alternates between 1 and 3. Does that mean it diverges?

Answer 3

Yes. That is correct.

Answer 4

Thank you!