Sum of Squares of First $$n$$ Natural Numbers

Rarely Tested

Sum of Squares of First $$n$$ Natural Numbers

## Formula

$$1^2+2^2+3^2+\cdots+n^2=\frac{n(n+1)(2n+1)}6$$

Therefore:

$$\sum_{k=1}^{n}k^2=\frac{n(n+1)(2n+1)}6$$

## Usage

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

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