`sum_(x=1)^n(x^2) = ( "n" ( "n" +1)(2 "n" +1))/6`

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The Sum of Squares calculator computes the sum of squared integers from 1 to n.

INSTRUCTIONS: Enter the following:

• (n) Highest Integer Squared.

Sum of Squares (`sum_(x=1)^n(x^2)`): The calculator returns the sum of the squared integers.

The Math / Science

Sum of squared integers from 1 to n. `1^2+2^2+3^2+...+n^2`.  The values can be summed manually or computed via the sum of squares formula:

        `sum_(x=1)^n(x^2) = (n(n+1)(2n+1))/6`

where:

• n = the maximum integer that is squared and summed.

Reference

This formula is also found in Schaum's Mathematical Handbook (19.10)