How do I write this sum of geometric series?

Question:How do I write this sum of geometric series?

Posted: jjcp 40 Product: Maple 17

October 15 2013

This is my approach:

sum(1/(4*n+1/3*k),k=1..infinity)

but I end up getting infinity for my answer which is obviously wrong.

ans: 1/4*ln(13)

thanks

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