Series Ratio Test: Answer 1/7 - Confirm?

[naspek]

Hey there.. I've done the ration test for the series at the attachment..
i've got the answer 1/7 where the series is convergent..
can someone confirm my answer..?

 

[Mark44]

Yes, the ratio test gives a ratio of 1/7, so the series converges.

 

[naspek]

Thanks Mark44! =)