# How to solve 1^2+2^2+3^2 to 30^2

Welcome to my article How to solve 1^2+2^2+3^2 to 30^2. 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 How to solve 1^2+2^2+3^2 to 30^2, read and understand it carefully till the end.

Let us know how to solve this question How to solve 1^2+2^2+3^2 to 30^2.

First write the question on the page of the notebook.

## How to solve 1^2+2^2+3^2 to 30^2

To solve this question we will write in this way,

\displaystyle {{1}^{2}}+{{2}^{2}}+{{3}^{2}}+………+{{30}^{2}}

here,

n=30

formula :-

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

putting the value of ‘n’

\displaystyle {{S}_{{30}}}=\frac{{30(30+1)(2\times 30+1)}}{6}

\displaystyle {{S}_{{30}}}=\frac{{30(31)(61)}}{6}

\displaystyle {{S}_{{30}}}=\frac{{(930)(61)}}{6}

\displaystyle {{S}_{{30}}}=\frac{{56730}}{6}

\displaystyle {{S}_{{30}}}=9355