I read here that in the tenth property:
http://www.cs.auckland.ac.nz/~jmor159/PLDS210/latex/complexity.pdf
The sum of the first $nr^{th}$ powers grows as the $(r+1)^{th}$ power
This is not very intuitive to me, why is that?
Since the base is changing (not the exponent) in the summatory I can't solve it with a geometric series