First time poster, forgive me in advance.

I am trying to get a function out of the following series that goes on for infinity. I'm pretty sure this is possible as I was able to solve the problem using Excel but I'm stumped when trying to assign a function to it that can be done by hand.

The series is:

1.1/1.12 + 1.2/1.12^2 + 1.3/1.12^3 + 1.4/1.12^4 + ... to infinity

When I solve this in Excel I can get a value of 16.11 however I can't seem to get this number by hand. Is it possible to do by hand, and if so, how?

Please let me know if I need to clarify anything.

Thank you in advance.