H1+H2+...+Hn = (n+1)Hn-n
I'm totally lost on this problem. I know it involves using induction in some way, but I have no clue how to tackle it.
Follow Math Help Forum on Facebook and Google+
What is the definition of H_n?
Judging by the title and the question, should be the partial sum of the harmonic series.
Undoubtedly you know about integration by parts which applies to the integral of a product. The discrete analog to this is summation by parts which applies to the sum of a product. One proof of your equation uses this summation by parts. Here it is:
View Tag Cloud