Welcome to my article **How to solve 1^2+2^2+3^2 to 25^2**. 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 25^2**, 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 25^2**.

First write the question on the page of the notebook.

## How to solve 1^2+2^2+3^2 to 25^2

**To solve this question we will write in this way**,

here,

n=25

**formula **:-

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

putting the value of ‘n’

\displaystyle {{S}_{{25}}}=\frac{{25(25+1)(2\times 25+1)}}{6} \displaystyle {{S}_{{25}}}=\frac{{25(26)(51)}}{6} \displaystyle {{S}_{{25}}}=\frac{{(650)(51)}}{6} \displaystyle {{S}_{{25}}}=\frac{{33150}}{6} \displaystyle {{S}_{{25}}}=5525** \displaystyle {{S}_{{25}}}=5525** [Answer]

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