How to solve 1^3+2^3+3^3+4^3+5^3 to 25^3 formula calculator

Welcome to my article How to solve 1^3+2^3+3^3+4^3+5^3 to 25^3 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 How to solve 1^3+2^3+3^3+4^3+5^3 to 25^3 formula calculator, read and understand it carefully till the end.

Let us know how to solve this question How to solve 1^3+2^3+3^3+4^3+5^3 to 25^3 formula calculator.

First write the question on the page of the notebook.

How to solve 1^3+2^3+3^3+4^3+5^3 to 25^3 formula calculator

To know the solution of this article, first of all, according to your understanding, we will write this question in such a way.

\displaystyle {{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+{{5}^{3}}+……+{{25}^{3}}

By understanding this question, we come to know that it is going on according to a chain. Therefore, we will solve this question with the help of the following formula.

FORMULA :

\displaystyle \mathop{S}_{n}={{\left( {\frac{{n(n+1)}}{2}} \right)}^{2}}

here ,

n = 25

putting the value of n in this formula-

\displaystyle \mathop{S}_{{25}}={{\left( {\frac{{25(25+1)}}{2}} \right)}^{2}}

\displaystyle \mathop{S}_{{25}}={{\left( {\frac{{25(26)}}{2}} \right)}^{2}}

\displaystyle \mathop{S}_{{25}}={{\left( {\frac{{\cancel{2}\times 25(13)}}{{\cancel{2}}}} \right)}^{2}}

\displaystyle \mathop{S}_{{25}}={{\left( {25(13)} \right)}^{2}}

\displaystyle \mathop{S}_{{25}}={{\left( {325} \right)}^{2}}

\displaystyle \mathop{S}_{{25}}=105625

\displaystyle \mathop{S}_{{25}}=105625 [Answer]

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