Wednesday, 23 November 2016

proof by mathematical induction with the summation operator?

$$
\sum_{k=1}^n k^3 = \left( \sum_{k=1}^n k \right)^2
$$
I can't quite understand this expression, and in fact this is my biggest difficulty in finding a solution. Can someone please explain to me ?
$$
\sum_{k=1}^n k = \frac{n(n+1)} 2
$$

No comments:

Post a Comment

real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...