# Sum of Sequence of Cubes/Examples/100

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## Examples of Sum of Sequence of Cubes

$100 = 1^3 + 2^3 + 3^3 + 4^3 = 10^2 = \left({1 + 2 + 3 + 4}\right)^2$

## Proof

 $\ds 100$ $=$ $\ds 10^2$ $\ds$ $=$ $\ds \left({\dfrac {4 \times \left({4 + 1}\right)^2} 2}\right)^2$ $\ds$ $=$ $\ds 1 + 8 + 27 + 64$ $\ds$ $=$ $\ds 1^3 + 2^3 + 3^3 + 4^3$

$\blacksquare$