Thread: "Determine whether the series is convergent or divergent."

1. "Determine whether the series is convergent or divergent."

Question:
Determine whether the series is convergent or divergent.

Answer:
The answer is Divergent.

I'd appreciate it if someone could explain to me why this is divergent. Does it have anything do with the same summation of 1/n ?

Thanks in advance!

2. Originally Posted by s3a
Question:
Determine whether the series is convergent or divergent.

Answer:
The answer is Divergent.

I'd appreciate it if someone could explain to me why this is divergent. Does it have anything do with the same summation of 1/n ?

Thanks in advance!
what can you say about the series ...

$-10 \sum{\frac{1}{n^{\frac{3}{5}}}}$ ?

3. Does it diverge BECAUSE OF the comparison test with 1/n and since 1/n diverges and is smaller that's what makes what you said divergent and therefore the whole thing divergent?

4. Originally Posted by s3a
Does it diverge BECAUSE OF the comparison test with 1/n and since 1/n diverges and is smaller that's what makes what you said divergent and therefore the whole thing divergent?
close enough.