This problem has intrigued me for some time now. I don't have much prerequisite knowledge on the topic. 1. The problem statement, all variables and given/known data Find the sum of [itex]1+4+9+16+...+n^2[/itex] for n=x and thus, find the sum after 50 terms. 3. The attempt at a solution Well, I have studied sums for the simple arithmetic and geometric progressions, but this one clearly doesn't follow those patterns. Please, for any helpers, don't just throw formulas at me, I would like this to be solved from scratch if need be (formulas being proven before being used). Thanks for any help.