Question

I did this question twice and got two different answers and I'm not quite sure which one is right... The answers are ln(7)/6 and 49/20 respectively and the question is to check the series: sum(infinity and n=1) 6/(n(n+6))

Answer 1

\[\sum_{n=1}^{\infty} \frac{ 6 }{ n(n+6) }\]

Answer 2

I'm pretty sure it's convergent... Though I could be wrong..

Answer 3

yes it converges to zero

Answer 4

Thanks! But the question still remains, is it Ln(7)/6 or is it 49/20? O.o

Answer 5

yes. i'm working on it

Answer 6

Awesome, thanks again! I would ask my friends around me currently but they're fooling around still :L

Answer 7

having trouble getting the steps posted

but the final answer should be 1+1/2+1/3+1/4+1/5+1/6

Answer 8

are you given an answer

Answer 9

Unfortunately not :(

Answer 10

But you got 49/20 like I did!

Answer 11

At least, that's what I think you got from what you posted :p

Answer 12

yes you're right! my result works out to 49/20 so that must be the answer

Answer 13

I can send you the solution later on a pdf if you want it?

Answer 14

Hopefully! And sure, that'd be great thanks! :D If it's not too much of a hassle for you that is :p

Answer 15

No hassle at all. Just going out for dinner and I'll be back in 2 hours

Answer 16

All good, I'll close the question just for everyone else's convenience, you should be able to find it again through your notification I think, thanks again! And enjoy your dinner wherever you are!

Answer 17

OK. Just had a great burger!
Here is the solution