Sum of Squares Calculator
Quickly calculate the sum of squares for a given range of numbers. Enter the start and end values below.
Result:
Calculation Steps:
| Number (n) | Square (n²) |
|---|---|
| Total Sum of Squares: | |
Understanding Sum of Squares
The sum of squares is the sum of the squares of a sequence of numbers. For a range of integers from \(n_1\) to \(n_2\), the sum of squares is calculated by squaring each number in the range and adding these squares together.
Formula: The sum of squares from \(n_1\) to \(n_2\) can be represented as:
$$ S = \sum_{i=n_1}^{n_2} i^2 = n_1^2 + (n_1+1)^2 + ... + n_2^2 $$
Example: To calculate the sum of squares from 1 to 3: \(1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14\).
This calculator simplifies this process, providing quick and accurate results for any given range. It's useful in various fields like statistics, physics, and engineering.