$1^{3} + 2^{3} + \ldots + 10^{3}$ equals

$1^{3} + 2^{3} + \ldots + 10^{3}$ equals
  1. $3025$
  2. $2500$
  3. $385$
  4. $1000$

Solution

$\left(\dfrac{10 \cdot 11}{2}\right)^{2} = 55^{2} = 3025$.

Asked in: IMO

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