Sum of Cubes of First $$n$$ Natural Numbers

Rarely Tested

Sum of Cubes of First $$n$$ Natural Numbers

## Formula

$$1^3+2^3+3^3+\cdots+n^3=\left[\frac{n(n+1)}2\right]^2$$

Therefore:

$$\sum_{k=1}^{n}k^3=\left[\frac{n(n+1)}2\right]^2$$

## Usage

- Used in summation problems involving cubes of consecutive natural numbers.

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