Determine whether the series converges or diverges: (1/3) + (1/6) + (1/9) + (1/12) + (1/15) + . . .

Question

anonymous · Answer

I know that the formula for this would be 1/3n.  Also, I know that it diverges... but I don't exactly know why.  Is it because it is just the harmonic series multiplied by 3?

zepdrix · Answer

Yah that's a good way to explain it! :) the harmonic series multiplied by 1/3.
You could also relate it to the ummm p-series, it's a p-series with p<=1.

anonymous · Answer

Divided by 3, I should say....

anonymous · Answer

Ah, yeah.  The p-series was probably what the book was getting at.  Thanks for the clarification :D