# How to solve 1^2+2^2+3^2 to 50^2 formula calculator

Welcome to my article 1^2+2^2+3^2 to 50^2 formula calculator. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question 1^2+2^2+3^2 to 50^2 formula calculator, read and understand it carefully till the end.

Let us know how to solve this question 1^2+2^2+3^2 to 50^2 formula calculator.

First write the question on the page of the notebook.

## 1^2+2^2+3^2 to 50^2 formula calculator

To solve this question we will write in this way,

\displaystyle {{1}^{2}}+{{2}^{2}}+{{3}^{2}}+………+{{50}^{2}}

here,

n=50

formula :-

\displaystyle Sn=\frac{{n(n+1)(2n+1)}}{6}

putting the value of ‘n’

\displaystyle {{S}_{{50}}}=\frac{{50(50+1)(2\times (50+1)}}{6}

\displaystyle {{S}_{{50}}}=\frac{{50(51)(101)}}{6}

\displaystyle {{S}_{{50}}}=\frac{{(2550)(101)}}{6}

\displaystyle {{S}_{{50}}}=\frac{{257550}}{6}

\displaystyle {{S}_{{50}}}=42925