Sum of Squares Calculator

Quickly calculate the sum of squares for a given range of numbers. Enter the start and end values below.

First Number (n1):

Second Number (n2):

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.