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

• Apr 14th 2010, 04:37 PM
s3a
"Determine whether the series is convergent or divergent."
Question:
Determine whether the series is convergent or divergent.
http://gauss.vaniercollege.qc.ca/web...d5d03cc4f1.png

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 ?

• Apr 14th 2010, 04:54 PM
skeeter
Quote:

Originally Posted by s3a
Question:
Determine whether the series is convergent or divergent.
http://gauss.vaniercollege.qc.ca/web...d5d03cc4f1.png

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 ?

what can you say about the series ...

$-10 \sum{\frac{1}{n^{\frac{3}{5}}}}$ ?
• Apr 14th 2010, 05:16 PM
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?
• Apr 14th 2010, 05:21 PM
skeeter
Quote:

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.