In my introduction to calculus book, I am given the following question:
"Show that the series
Is convergent, and find its sum to 8 terms."
The series isn't geometric (no common ratio) and it isn't arithmetic (no common difference). I've managed to provide the following characterization of the series:
[![enter image description here][3]][3]
But from here I've blanked. Perhaps it is something simple I have forgotten -- I'm sure it is in fact -- but I'm not sure how to show this series is convergent (doesn't sum to infinity), nor how to find the partial sum of a non-geometric, non-arithmetic series. The book is an introductory calculus book, and therefore the problem musn't require any fancy maths from Calculus 3 or anything.
