I got this quadratic function from physics that I need to find the sum of each term, up to whatever point. Written thusly:
$ \sum_{n=1}^{t}4.945n^2$And is there someway to quickly figure this out? Or links to tutorials
I got this quadratic function from physics that I need to find the sum of each term, up to whatever point. Written thusly:
$ \sum_{n=1}^{t}4.945n^2$And is there someway to quickly figure this out? Or links to tutorials
There is the standard formula $\sum_{k=1}^n k^2=\frac{n(n+1)(2n+1)}{6}.$
It can be proved by a pretty routine induction.