Question

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

Answer 1

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?

Answer 2

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.

Answer 3

Divided by 3, I should say....

Answer 4

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