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 ?
$$
\sum_{k=1}^n k = \frac{n(n+1)} 2
$$

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